Class 9th

1.) Assertion: The runs scored by a batsman in 5 ODIs are 31,97,112, 63, and 12. The standard deviation is 25.79.

Reason: mean = total sum of number in data sets./ total number in data sets.

a) Both Assertion and Reason are correct and reason is correct explanation for the.

b) Both Assertion and Reason are false but reason is not correct explanation for assertion.

c) Assertion is correct but reason is false.

d) Both Assertion and reason are false.

Ans: a) both assertion and  reason are correct but  reason is  not correct explanation for assertion.

 2.) Assertion: the mode of the call received on 7 consecutive day 11,13,13,17,19,23,25 is 13.

Reason: Mode is the value that appears most frequent;

a)Both Assertion and Reason are correct and reason is correct explanation for the.

b)Both Assertion and Reason are false but reason is not correct explanation for assertion.

c)Assertion is correct but reason is false.

d)Both Assertion and reason are false.

Ans: a) both assertion and  reason are correct but  reason is  not correct explanation for assertion.

3.) Assertion: Frequency is the number of times a particular observation occurs in data.

Reason: Data can be grouped into class intervals such that all observations in that range belong to that class.

a) Both Assertion and Reason are correct and reason is correct explanation for the.

b) Both Assertion and Reason are false but reason is not correct explanation for assertion.

c) Assertion is correct but reason is false.

d) Both Assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.

4.) Assertion: Class width = upper class limit – lower class limit

Reason: Class mark =(Upper Class Limit+ Lower Class Limit)/2

a) Both Assertion and Reason are correct and reason is correct explanation for the.

b) Both Assertion and Reason are false but reason is not correct explanation for assertion.

c) Assertion is correct but reason is false.

d) Both Assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.

1.) Assertion: If diameter of a sphere is decreased by 25%, then its curved surface area is decreased by 43.75%.

Reason : Curved surface area is increased when diameter decreases

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: c) Assertion is correct but reason is false

2) Assertion: The volume and surface Area of a sphere are related to each other by radius.

Reason : Relation between Surface Area S and Volume V is `S^(3) = 36 pi V^(2)`.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

3) Assertion: The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 15 mm, then the internal volume is 765 cm3.

Reason : If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x , then its internal volume is (l – 2x) (b – 2x) (h – 2x)

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

4) Assertion: The radius of a cylinder is doubled and its height remaining same. Then its volume will be increased four times.

Reason (R): Volume of the cylinder is πr^2h where, r = radius of base and h = height of the cylinder.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

5) Assertion: The surface area of a sphere is 2464 . Then its volume is 11498(2/3)cm^3

Reason (R): The volume of a sphere of radius 4/3πr^3 is , and total surface area is 4πr^2

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: b)  both Assertion and reason are correct but reason is not correct explanation for Assertion

6) Assertion: Volume of sphere=4/3πr^3 and surface area of sphere=4πr^2

Reason: if the volume of two sphere are in the ratio27:8 then the surface area are in the ratio 3:2

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: c) assertion is correct but reason is false

7) Assertion: total surface area of cylinder having radius of the base 14cm and height 30 cm is 3872cm^2

Reason: if r be the radius and h be the height of the cylinder then the total surface area= (2πrh+2πr^2)

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

8) Assertion: the slant height of the frustum of a cone is 5 cm and the difference between the radii of its two circular ends is 4 cm than the height of the frustum is 3 cm

Reason: slant height of frustum of cone is given by l= √(R-r)^2+h^2

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

9) Assertion: if r be the radius and h be the slant height of cone then the slant height =√(h^2+r^2)

Reason: if the height of cone is 24 cm and diameter of base is 14cm then the slant height of cone is 15 cm

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: c)  Assertion is  correct but reason is  false

10) Assertion: total surface area of cuboid is 2(lb+bh+lh)

Reason: two identical solid cube of side 5 cm are joined end to end then the total surface area of the resulting cuboid is 300 cm^2

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: c)  Assertion is  correct but reason is  false

11) Assertion: volumes of cone =1/3πr^2h

Reason: the radii of two cone are in the ratio 2:3 and their volumes in the ratio 1:3 then the ratio of their height is 3:2

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: c)  Assertion is  correct but reason is  false

12) Assertion: if a ball is in the shape of a sphere has a surface area of 221.76cm^2 then  it’s diameter is 8.4 cm

Reason: if the radius of the sphere be r then the surface area, S=4πr^2

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

13) Assertion: the number of cins 1.75 cm in diameter and 2mm thick is formed from a melted cuboid 10cm*5.5cm*3.5cm is 400

Reason: volume of cylinder= πr^2h cubic units and area of cuboid =(l*b*h) cubic units

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

14) Assertion: number of spherical balls that can be made out of a solid cube lead whose edge 44 cm each ball being 4 cm in diameter is 2541

Reason: number of balls = volume of one ball/ volume of lead

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: c) Assertion is correct but reason is false

15) Assertion: volume of sphere =4/3πr^3 and it’s surface area 4πr^2

Reason: if the volumes of two spheres are in the ratio 27:8 then their surface area are in ratio 9:4

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

16) Assertion: total surface area of hemisphere is 3πr^2

Reason: the outer surface of hemisphere of radius 7cm is to be painted the total cost of painting atvrs 5 per cm^2is RS 2300

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: c) Assertion is correct but reason is false

17) Assertion: the curved surface area of a cone base radius 3 cm and height 4cm is 15πcm^2

Reason: curved surface area  of a cone = πr^2h

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: c)Assertion is correct but reason is false.

18) Assertion: 5 number of solid sphere each of diameter 6 cm that could be moulded to form a solid metallic cylinder of height 45 cm and diameter 4 cm

Reason: number of solid sphere = volume of cylinder / volume of sphere.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

19) Assertion: two circular cylinder of equal volumes have their height in the ratio 1:2 then ratio of their radii is √2:1

Reason. releation between the height and radius of volume is inversely proportional.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

20) Assertion: the number of coins 1.75 cm  in diameter 2 mm thick from a melted cuboid (10cm*5.5cm*3.5cm) is500

Reason: volume of cylinder base and radius r and height h is given by V= πr^2hcubic units

and volume of cuboid=(l+b+h)

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertionc) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: d) both Assertion and reason are false

21) Assertion: a closed cylindrical tank of radius 7  m and height 3 m is made from metal 440m^2 sheet of  metal is required.

Reason: surface area of cylinder= 2πr(r+h)

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

22) Assertion: the volume and surface area of a sphere are related to each other by radius.

Reason: the relation between the surface area and volume is S^3=36V^2

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

23) Assertion: the volume of a solid is defined as the space occupied by the solid shape in 3-dimesional region

Reason: the amount of water the glass can hold is called volume of glass

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

24) Assertion: in a cylinder radius is doubled and height is halved  curved surface area will be same

Reason : curved surface area of cylinder= 2πRH

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

25) Assertion: if a ball shape of a sphere has surface area 221.76cm^2 then it’s diameter is 8.4cm

Reason: if the radius of sphere be r then the surface area , S=4πr^2

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

26) Assertion: curved surface of cylinder= 2πrh

Reason:  if the curved surface ofright circular cylinder  1760cm^2 and it’s radius is 21cm then it’s height is 80/3 cm

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: c) Assertionis correct but reason is false

27) Assertion: 220cm^2 the curved surface area of a right circular cone whose slant height

is 10 cm and base radius is 7 cm.

Reason: Curved surface area = πrl

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

28) Assertion: The point of intersection of the 3 edges of a cuboid is called the vertex of a cuboid

Reason:  a cuboid has 8 vertices.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation Assertion

29) Assertion: The volume of a solid is equal to the product of the base area and its height

Reason: Volume = (Length × Breadth × Height)

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

30) Assertion: a cone is solid figure

Reason: a cone is generated when rectangular sheet is rotated about its axis

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: c) Assertion is true but reason is false.

31) Assertion: the radii of two cones are in the ratio 2:3 and their height are in ratio 7:3 the ratio of their volumes is 28:27

Reason: volume of cone=1/2πr^2h

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: c) Assertion is true but reason is false

32) Assertion: √1400 is the maximum length of rod that can be kept in cuboidal box of sides 30 cm ,20 cm and 10 cm

Reason: diagonal is the longest length in the cuboid

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

33) Assertion: the surface area of cube whose edge equal S to 3 cm is 54sq.cm

Reason: surface area of cube

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

34) Assertion: the surface area of cuboid shaped box having  length80cm,breadth40cm,height20cm is 11200

Reason: surface are of box= 2(ll+bb+hh)

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: c) Assertion is true but reason is false

35) Assertion: if the radius of cylinder is 4 cm and height 10 cm then the total surface area of cylinder is 352sq.cm

Reason: total surface area of cylinder= 2πr(r+h)

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

36) Assertion: the curved surface area of right circular  cylinder  is 4.4 sq.cm the radius of base is O.7 cm the height of cylinder will be 5 cm

Reason: curved surface area of cylinder 2(πr+h)

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: d) both Assertion and reason are false

37) Assertion: the radius of a sphere is 2r then it’s volume will be (32/3)πr^3

Reason: volume of sphere 4/3 πr^3

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

38) Assertion: the radius of hemispherical balloon increase from 6 cm to 12 cm as air is being pumped into it the ratio of the surfaces areas of balloon in two cases is 1:4

Reason: total surface area of hemisphere=3πr^2

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

39) Assertion: the lateral surface area of a cube is 256 m^2:the volume of the cube is 512m^3

Reason: lateral surface area of cube = 4*side^2

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

40) Assertion: a cylinder and right circular cone are having the same base and same height the volume of cylinder is three times the volume of cone

Reason: if the radius of cylinder is doubled and height is halved the volume will be doubled

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

41) Assertion: the total surface area of a cone 968 sq.units with radius 14 units and slant height 8 units.

Reason: surface area of cone = πr^2l

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: c)  Assertion is correct but reason is false

42) Assertion: the lateral surface area of a right cone is 62.82 if the radius is 4 cm and the slant height is 5 cm.

Reason: lateral surface area of cone = πrl

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

43) Assertion: 550 cm^3 is the volume of cylindrical shape of water container that has height of 7 cm and diameter of 10 cm

Reason: volume of cylinder= πr^2h

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

44) Assertion: the perpendicular distance between two bases is the height of cylinder

Reason: the line segment joining the centre of two bases is the axis of cylinder

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

45) Assertion: if the value of the side of cube is10 cm then 500vm^2 and  3000 cm^3 its surface area and volume.

Reason: surface area and volume of cube are always equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: d) both Assertion and reason are false

46) Assertion: volume of cuboid is defined as the amount of space occupied by the walls of cuboid in three dimensional space

Reason: volume of cuboid is the product of length ,width ,height

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for assertion

47) Assertion: a sphere is a symmetrical object

Reason: a sphere had an only a curved surface no flat surface no edge and no vertices

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

48) Assertion: sphere has constant mean curvature

Reason: sphere has constant width and circumference

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for assertion

49) Assertion: circle ,rectangles ,square and triangles arevplane figure

Reason: plane figure posses perimeter and area

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

50) Assertion: solid figures are three dimensional figures

Reason: solid figures possess volume and surface area.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertions and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for assertion

1) Assertion: the area of a triangle 8966.56 whose sides are respectively 150 cm, 120 cm and 200 cm.

Reason: heron’s formula=√s(s-a)(s-b)(s-c)

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is not correct explanation for Assertion

2) Assertion: the area of a triangle is 6 cm^2  whose sides are 3 cm, 4 cm and 5 cm respectively.

Reason: area of triangle= √s(s-a)(s-b)(s-c)

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

3) Assertion: the area of an equilateral triangle having each side 4 cm is 4√3 cm^2

Reason: Area of an equilateral triangle = ( √3/4 ) × a²

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

4) Assertion: area of triangle= √s(s-a)(s-b)(s-c)

Reason: s = (a+b+c)/2

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

5) Assertion: perimeter of triangle = (a+b+c)/2

Reason: If the sides of the triangle are 30m, 24m and 22 m then it’s perimeter is 76 m

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

6) Assertion: if 2S=( a+b+c)/2 where a,b,c are the sides of triangle then area =√s(s-a)(s-b)(s-c)

Reason: the sides of triangle are 3cm,4cm,5cm it’s area is 6cm^2

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans:c)Assertion is true but reason is false

7) Assertion: the side of equilateral triangle is 6 cm then the area of triangle is  9 √3 cm^2

Reason: all the side of equilateral triangle are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for assertion.

8) Assertion: The right angled triangle if hypotenus is 5√2cm then  other two side equal to 5 cm each

Reason: in right angled triangle  base^2+perpendicular ^2=hypotenus ^2

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

9) Assertion: the height of equilateral triangle is √ 3/2a

Reason: the side of equilateral triangle  is 6 cm then the height of triangle is 9 cm

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false.

10) Assertion: the height the triangle is 18 cm and its area is 72cm^2 and it’s base is 8 cm

Reason: area of triangle= 1/2*base*height

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

11) Assertion:  The sides of a triangle are 3 cm, 4 cm and 5 cm. Its area is 9√3cm^2

Reason : If 2s = (a + b + c ) , where a , b, c are the sides of a triangle, then area = √(s – a) (s–b)(s– c)

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false

12)  Assertion : The sides of a triangle are in the ratio of 25 :14 :12 and its perimeter is 510 m. Then the greatest side is 250 cm.

Reason : Perimeter of a triangle = a + b + c , where a,b,c are sides of a triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

13 )Assertion: Semi perimeter of a equilateral  triangle is s =3 a /2, where, a, are side of triangle.

Reason: If the area of an equilateral triangle is81√3 cm2, then the semi perimeter of triangle is 20cm.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false

14) Assertion: The sides of a triangle are in the atio of25 : 14 : 12 and its perimeter is 510 cm. Then the area of the triangle is 4449.08 cm2

Reason: Perimeter of a triangle = a + b + c, where a ,b, c are sides of a triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

15) Assertion: the side of an equilateral triangle is 20cm then the height  is 20√3/3 cm

Reason: the height of an equilateral triangle is √3/2a

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

16) Assertion: the perimeter of triangle is 36 cm and it’s side are in the ratio a:b:c= 3: 4:5 then a= 9 cm,b=12cm,c=15cm

Reason: perimeter of triangle = sum of all side of triangle

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

17) Assertion: Area of rhombus whose side is 20 cm and one diagonal is 24 cmis 384cm^2

Reason: all sides of rhombus are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

1.) Assertion: a, b and c are the lengths of three sides of a triangle, then a+b > c

Reason: The sum of two sides of a triangle is always greater than the third side.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false

d both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

2) Assertion: The side lengths 4cm, 4cm and 4cm can be sides of equilateral triangle

Reason: : Equilateral triangle has all its three sides equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false

d both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

3) Assertion: To construct an angle of 60 degrees, we need to draw first a ray

Reason: To construct an angle of 60 degrees we need to start at the initial point of a ray.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false

d both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

4) Assertion: The construction of a triangle ABC in which AB = 4 cm, ∠A = 60° is not possible when the difference of BC and AC is equal to 4.5

Reason: the difference of any two sides of a triangle cannot be greater than the third side.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false

d both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

5) Assertion: The side length of 2 cm, 3 cm, and 4 cm can be the sides of Scalene triangle

Reason: the sides of a scalene triangle, as all the sides have different measurements.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false

d both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

6) Assertion: The internal and external bisectors of an angle forms a right angle

Reason: the bisector always divides an angle in two equal parts.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false

d both Assertion and reason are false

Ans: c) Assertion is true but reason is false

7) Assertion: bisector of angle divide the angle in two equal parts.

Reason: Every angle has an angle bisector.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false

d both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for the Assertion

8) Assertion: All the points of angle bisector are equidistant from both the arms of the angle

Reason: An angle bisector can be drawn to any angle, such as acute, obtuse, or right angle

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false

d both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for the Assertion

9) Assertion: The perpendicular bisector of the line is Perpendicular to the line

Reason: Perpendicular bisector passes through the midpoint of a line segment.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false

d both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for the Assertion

10) Assertion: The starting point of the ray is called vertex

Reason: A ray does not have a height or width

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false

d both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for the Assertion

11) Assertion: When two lines crosses each other at a common point then this lines are called intersecting line.

Reason: Intersecting lines meet at a single point, they can meet at more than one point.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false

d both Assertion and reason are false

Ans: c) Assertion is true but reason is false

12) Assertion: Intersecting lines meet at a single point, they cannot meet at more than one point.

Reason: When two lines crosses each other at a common point then this lines are called intersecting line

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

13) Assertion: When two straight lines intersect each other at a right angle in a common point then that lines are called as perpendicular line

Reason: The angle between any two perpendicular lines is always equal to 90. °

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

14) Assertion: The lines which do not intersect each other and can be extended to infinity in a plane then this lines are called as parallel lines.

Reason: The parallel lines meet at the point of infinity.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

15) Assertion: The lines which are not parallel and also does not intersect are called as skew line.

Reason: Lines that are non-intersecting, non-parallel, and non-coplanar are skew lines.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

1) Assertion: AB and CD are two parallel chords of a circle whose diameter is AC. Then AB ≠ CD.

Reason : Perpendicular from the centre of a circle does not bisects the chord.

a)both Assertion and Reason are correct  and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct  but Reason is not the correct explanation of Assertion.

(c) Assertion is correct  but Reason is false

(d)  both assertion and reason are wrong.

Ans: d) both assertion and reason are false

2.) Assertion: Angles in the same segment of a circle are equal.

Reason: In cyclic quadrilateral, opposite angles are supplementary.

a)both Assertion and Reason are correct  and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct  but Reason is not the correct explanation of Assertion.

(c) Assertion is correct  but Reason is false

(d)  both assertion and reason are wrong.

Ans: b)both assertion and reason are correct and reason is correct explanation for assertion.

3 ) Assertion: Perpendicular bisectors of two chords of a circle intersect at its centre.

Reason: : A line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

a)both Assertion and Reason are correct  and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct  but Reason is not the correct explanation of Assertion.

(c) Assertion is correct  but Reason is false

(d)  both assertion and reason are wrong.

Ans: b) both assertion and reason are correct and reason is correct explanation for assertion.

4) Assertion: If a sector of a circle of diameter 21 cm subtends an angle of 120° at the centre, then its area is 85.5cm^2

Reason:. In a circle of radius 21 cm, an arc substends an angle

of 60° the centre the length of the arc is 22 cm.

a)both Assertion and Reason are correct  and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct  but Reason is not the correct explanation of Assertion.

(c) Assertion is correct  but Reason is false

(d)  both assertion and reason are wrong.

Ans: b) both assertion and reason are correct and reason is correct explanation for assertion.

5) Assertion: Area of a segment of a circle is less than the area of its corresponding sector.

Reason: The area of the circle inscribed in a square of side a cm, πa^2 cm^2.

a)both Assertion and Reason are correct  and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct  but Reason is not the correct explanation of Assertion.

(c) Assertion is correct  but Reason is false

(d)  both assertion and reason are wrong.

Ans: d) both assertion and reason are false.

6) Assertion: Perimeter of a semi circle , (πr+d) units.

Reason: Area of circle is πr^2

a)both Assertion and Reason are correct  and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct  but Reason is not the correct explanation of Assertion.

(c) Assertion is correct  but Reason is false

(d)  both assertion and reason are wrong.

Ans: b) both assertion and reason are correct and reason is correct explanation for assertion.

7) Assertion: If the circumference of a circle is 88 cm, then its radius is 14 cm.

Reason: 2π r is circumference of a circle.

a)both Assertion and Reason are correct  and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct  but Reason is not the correct explanation of Assertion.

(c) Assertion is correct  but Reason is false

(d)  both assertion and reason are wrong.

Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.

8) Assertion: measure of an semicircle of an angle is 90°

Reason: Concentric circles are circles having same centre.

a)both Assertion and Reason are correct  and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct  but Reason is not the correct explanation of Assertion.

(c) Assertion is correct  but Reason is false

(d)  both assertion and reason are wrong.

Ans: b) both assertion and reason are correct but  reason is not correct explanation for assertion.

1) Assertion: The area of a parallelogram and a rectangle having a common base and between same parallels are equal.

Reason: Another name of a rectangle is a parallelogram.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

2) Assertion: The parallelogram on the same and between the same parallel are equal in area.

Reason: The areas of parallelogram between the same parallels are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: c) assertion  is true but reason is false

3) Assertion: Congruent triangles have equal areas but converse is not true

Reason:If two triangles area are same areas, they will be congruent

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: c) Assertion is true but reason is false

4) Assertion: Two triangles having the same base (or equal bases) and equal areas lie between the same parallels

Reason: Triangle area is (1/2) X base X height. With same base and area, height should be equivalent, which means they lie on same parallel

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

5) Assertion: The diagonals of a ||gm divide it into four triangle of equal area.

 Reason : A diagonal of a ||gm divides it into two triangle of equal area.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

6) Assertion: The area of a trapezium whose parallel sides measure 25 cm and 15 cm respectively and the distance between them is 6 cm, is 120 `cm^(2)`

Reason: area of trapezium=1/2(a+b)h

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

7) Assertion: The perimeter of a parallelogram is the total distance enclosed by its boundary.

Reason: The perimeter of a parallelogram depends on the length of its four sides.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

8) Assertion: The Sum of adjacent angles of a parallelogram is equal to 180 degrees

Reason: The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

9) Assertion: square is a parallelogram

Reason: the opposite sides are parallel to each other, and the diagonals of the square bisect each other.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for the Assertion

10) Assertion: the area of a parallelogram  is 40 cm whose base is 5 cm and height is 8 cm.

 Reason: area of parallogram = base *height

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

11) Assertion: In figure, E is any point on median AD of a ∆ABC. Then arc (ABE) = arc (ACE).

Reason: A median divides the triangle into two triangles of equal areas

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

12)  Assertion: the diagonals of a parallelogram divide it into four triangles of equal area.

Reason:  sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is correct explanation for Assertion

13) Assertion: In the given figure, ABCD is parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, AD=10.8

Reason: opposite side of parallogram are unequal

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:c) Assertion is true but reason is false

14) Assertion: If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD then ar (EFGH) =1/2ar (ABCD

 Reason: opposite side of parallogram are equal and parallel

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

15) Assertion: two congruent figure have equal area

Reason: two equal area figure are always congruent

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:c) Assertion is true but reason is false

16) Assertion: product of base and corresponding altitude is known as area of parallogram

 Reason: arc of parallogram is product of diagonal

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:c) Assertion is correct but reason is false

17) Assertion: Parallelogram having the same base and equal areas lie between the different parallels

Reason: If parallelogram and triangle are on the same base and between the same parallels then area of triangle is half of the area of parallogram

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: d) both Assertion and reason are false

18) Assertion: Opposite side of parallogram are always parallel

 Reason:  ‘parallel lines’ means parallel lines are the two lines that never meet.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

19) Assertion: Diagonals of a parallelogram are not bisect each other.

Reason: the sum of angle of parallogram is 180°

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: d) both Assertion and reason are false

20) Assertion: The base and the corresponding altitude of a parallelogram are 10 cm and 3.5 cm respectively. The area of the parallelogram is 35

Reason: area of parallogram = base*height

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

21) Assertion: If a triangle and parallelogram are on the same base and between the same parallels,

Reason: the area of the triangle is equal to half the area of a parallelogram

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

22) Assertion: In the parallelogram ABCD, then the value of x is 130°

Reason: Opposite angles are equal, and adjacent angles must sum to 180°.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

23) Assertion: the perimeter of this parallelogram is 38+8√2 cm

Reason: The formula for the perimeter of a parallelogram is:

P = 2(side) + 2(base).

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

24) Assertion: the measures of ∠C and ∠B is  70°,110°in the parallelogram ABCD.

Reason: opposite angle of parallogram are not congruent

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:c) Assertion is correct but reason is false

25) Assertion: In the adjoining figure, ABCD is a parallelogram, AO and BO are the bisectors of ∠A and ∠B respectively. Then  that ∠AOB = 90°.

Reason: the sum of two adjacent angles of a parallelogram is 180°

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

26) Assertion:In the parallelogram PQRS, Pq = 6 cm and SR : RQ = 2 : 1.  18 cm is  the perimeter of the parallelogram.

Reason:  perimeter of parallogram = 2(a+b)

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

27) Assertion:

is a acute angle triangle type

Reason: A triangle that has all three angles less than 90° is an acute angle triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

28) Assertion:

is aright angled triangle

Reason: A triangle that has all three angles less than 90° is an acute angle triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

29) Assertion: The other two angles of a right-angle triangle are acute angles.

Reason:measurement of right angle is 90°

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

30) Assertion: it is scalene type of a  triangle

Reason: A triangle that has all three sides of different lengths is a scalene triangle

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

31) Assertion: The sum of all interior angles of any triangle is equal to 180°

Reason: The triangle have three interior angle

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

32) Assertion: The sum of the lengths of any two sides of a triangle is always greater than the length of the third side

Reason: the difference between the lengths of any two sides of a triangle is always less than the length of the third side

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

33) Assertion: Sum of length of any two sides of a triangle is always greater than the third side.

Reason: Sum of length of any two sides of a triangle is always equal to the third side.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:c) Assertion is true but reason are false

34) Assertion: A right-angled triangle can be a scalene triangle or an isosceles triangle.

Reason: It depends on whether the lengths of the perpendicular and the base are equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:a) both Assertion and reason are correct and reason is correct explanation of Assertion

35) Assertion:in  any triangle, the three medians meet at a point.

Reason:  The point of intersection of the medians in a triangle is called the centroid of the triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

36) Assertion: the triangle is acute, obtuse, or right-angled, the incentre always lies inside a triangle.

Reason: The point of intersection of the internal bisectors of the three angels in a triangle is called the incentre of a triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

37) Assertion:For an acute-angled triangle, the circumcentre always lies inside the triangle

Reason: the angle whose measurement less than 90° and greater than 0° is known as acute angle

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

38) Assertion:An equilateral triangle has 3 equal angles that are 60° each.

Reason: equilateral triangle is a triangle in which all three sides have the same length.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

39) Assertion: A triangle has three straight sides that connect.

Reason:The length of the sides can vary but the length of the largest side can’t be equal or greater to the sum of the other two sides.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

40) Assertion:The two angles that are equal in an isosceles triangle are the two base angles.

Reason: An isosceles triangle has two equal sides that meet at a point.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

41) Assertion: the value of x is 60° if PQRS is a parallelogram.

Reason: opposite angle of parallogram are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

42) Assertion: Given PQRS is a parallelogram, 1.2 is the ratio of OQ/OR if PR = 10cm and QS = 12cm

 Reason: the diagonal of parallogram are bisect each other

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

43) Assertion:  angle bisector of a parallelogram form a rectangle

Reason: every parallelogram is a rectangle

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:c) Assertion is correct but reason is false

1) Assertion: The angles of a quadrilateral are x°, (x – 10)°, (x + 30)° and (2x)°, the smallest angle is equal to 58°

Reason : Sum of the angles of a quadrilateral is 360°

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

2) Assertion: If the diagonals of a parallelogram ABCD are equal, then ∠ABC = 90°

Reason : If the diagonals of a parallelogram are equal, it becomes a rectangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

3) Assertion: A parallelogram consists of two congruent triangles.

Reason : Diagonal of a parallelogram divides it into two congruent triangles.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

4) Assertion: ABCD is a square. AC and BD intersect at O. The measure of ∠ABC = 900.

Reason : Diagonals of a square bisect each other at right angles.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is correct explanation for Assertion.

5)  Assertion: ABCD and PQRC are rectangles and Q is a midpoint of AC . Then DP = PC.

Reason : The line segment joining the midpoint of any two sides of a triangle is parallel to the third side and equal to half of it.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

6) Assertion: In ΔABC , median AD is produced to X such that AD =DX . Then ABXC is a parallelogram.

Reason : Diagonals AX and BC bisect each other at right angles

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false

7) Assertion: The consecutive sides of a quadrilateral have one common point.

Reason : The opposite sides of a quadrilateral have two common point

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false.

8) Assertion: Two opposite angles of a parallelogram are (3x-2)°and (50-x)° The measure of one of the angle is 37°

Reason : Opposite angles of a parallelogram are equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false.

9) Assertion: If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40°, 60°, 140°, 120°, respectively.

Reason : The sum of the angles of a quadrilateral is 360°

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) Assertion is true but reason is false

10) Assertion: In ΔABC , E and F are the midpoints of AC and AB respectively. The altitude AP at BC intersects FE at Q. Then, AQ = QP.

Reason : Q is the midpoint of AP

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

11) Assertion: every square is a rectangle

Reason: every rectangle is a square

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false

12) Assertion: every square is rhombus

Reason: every rhombus is a square.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false

13) Assertion: all parallogram are quadrilateral

Reason: all parallogram are rectangle

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false

14) Assertion: every trapazoid is a parallelogram.

Reason: a trapazoid is a quadrilateral whose opposite side are parallel

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:d) both Assertion and reason are false.

15) Assertion: all quadrilateral are not parallelogram

Reason: quadrilateral that don’t  have parallel side

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

16) Assertion: every square is a rectangle

Reason: because it is a quadrilateral with all four angles right angles.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

17) Assertion: every square is a rhombus

Reason: it has four equal-length sides and goes above and beyond that to also have four right angle

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

18) Assertion: the value of xin given figure is 140°

Reason: sum of angles of quadrilateral is 360°

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

19) Assertion: all the four angles of a quadrilateral cannot be obtuse.

Reason: because obtuse angle is grater than 90°

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

20) Assertion: kite is not rhombus

Reason: because only one adjacent pair of side are equal and only one pair of opposite angle are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

21) Assertion: adjacent side of rhombus are equal

Reason: the opposite side of rhombus are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

22) Assertion: a parallogram whose adjacent are equal is known  as rhombus

Reason: the diagonas of parallogram are not bisect each other

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:c) Assertion is true but reason is false

23) Assertion: a geometric shape whose four side four angle and four vertices is known as quadrilateral

Reason: rhombus is a qudrilateral

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

24) Assertion: the quadrilateral whose diagonal are bisect each other at the right angle is known as rhombus

Reason: opposite vertices of a rhombus are joined, they form the diagonals of a rhombus.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

25) Assertion:  the area of a rhombus is 24cm^2 having diagonals equal to 6 cm and 8 cm.

Reason: area of rhombus =(d₁*d₂₎/2

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is Correct explanation for Assertion

26) Assertion: rectangle is equiangular

Reason: all angles of rectangle are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

27) Assertion: The interior angle of a rectangle at each vertex is 90°.

Reason: The sum of all interior angles is 360°.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

28) Assertion: A rectangle is 6 m wide and 3 m high, 18m^2 is its Area

Reason: area of rectangle= leangth*breadth

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

29) Assertion: A rectangle is 12 cm long and 5 cm tall, 34cm is its Perimeter?

Reason: perimeter of rectangle =2*(leangth*breadth)

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

30) Assertion: A rectangle is 12 cm wide, and 5 cm tall, 13cm is the length of a diagonal

Reason: leangth of diagonal of rectangle I= √(a^2+b^2)

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

31) Assertion: 1.44 sq.m the area of a square clipboard whose side measures 120 cm.

Reason: area of square= side^2

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

32) Assertion: ABCD is a rhombus such that ∠ABC = 40°, then ∠ADC is equal to40°

Reason: in rhombus opposite angles are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

33) Assertion: diagonal of parallogram are divide into two congruent triangle

Reason: in a parallelogram opposite angle are not equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:c) Assertion is correct but reason is fslse

34) Assertion: all quadrilateral are not rectangle

Reason: all quadrilateral are parallogram

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:d) both Assertion and reason are false

35) Assertion: diagonal of trapezium are equal

Reason: diagonal of trapezium are perpendicular

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:d) both Assertion and reason are false

36) Assertion: If one angle of a parallelogram is twice of its adjacent angle, then  the angles of the parallelogram are 120°,60°,120°,and 60°

Reason: in a parallelogram sum of adjacent angle is 180°

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

37) Assertion: triangle is not quadrilateral

Reason: quadrilateral is a polygon it has four side

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

38) Assertion: rectangle have leangth and breadth

Reason: the largest side of rectangle is breadth

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:c) Assertion is true but reason is false

39) Assertion: The diagonals in a square bisect each other at 90°

Reason: The diagonals in a square divide the square into four congruent equilateral right-angles triangles

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:c) Assertion is true but reason is false

1) Assertion : In the adjoining figure, X and Y are respectively two points on equal sides AB and AC of ΔABC such that AX = AY then CX = BY.

Reason: If two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, then the two triangles are congruent

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

2)  Assertion : In the given figure, BO and CO are the bisectors of ∠B and ∠C respectively. If ∠A = 50° then ∠BOC = 115°

Reason: The sum of all the interior angles of a triangle is 180°

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

3) Assertion: Two angles measures a – 60° and 123º – 2a. If each one is opposite to equal sides of an isosceles triangle, then the value of a is 61°.

Reason: Sides opposite to equal angles of a triangle are equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

4) Assertion: Assertion : In ΔABC, ∠C = ∠A, BC = 4 cm and AC = 5 cm. Then, AB = 4 cm

Reason: In a triangle, angles opposite to two equal sides are equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

5) Assertion: In ΔABC, BC = AB and B = 80°. Then, ∠A = 50°

Reason: In a triangle, angles opposite to two equal sides are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

6) In ΔABC, D is the midpoint of BC. If DL I AB and DM I AC such that DL = DM, then BL = CM

Reason: If two angles and the included side of one triangle are equal to two angles

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

7) Assertion : Sides opposite to equal angles of a triangle are equal.

Reason: Angles opposite to equal sides of a triangle are not equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

8) Assertion : In ΔABC, AB = AC and ∠B = 50°, then ∠C is 50°.

Reason: Angles opposite to equal sides of a triangle are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

9) Assertion : ΔABC and ΔDBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC. If AD is extended to intersect BC at E, then ΔABD ≅ ΔACD

Reason: If in two right triangles, hypotenuse and one side of a triangle are equal to the hypotenuse and one side of other triangle, then the two triangles are congruent.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but  reason is not correct explanation for Assertion.

10) Assertion: In triangles ABC and PQR, ∠A = ∠P, ∠C = ∠R and AC = PR. The two triangles are congruent by ASA congruence.

Reason: If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the two triangles are congruent.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

11) Assertion : In ΔABC and ΔPQR, AB = PQ, AC = PR and ∠BAC = ∠QPR then ΔABC ≅ ΔPQR

Reason: Both the triangles are congruent by SSS congruence.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false.

12) Assertion: In the given figure, BE and CF are two equal altitudes of ΔABC then ΔABE ≅ ΔACF

Reason: If two angles and one side of one triangle are equal to two angles and the corresponding side of the other triangle, then the two triangles are congruent.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

13) Assertion: In ABC, ∠A = ∠C and BC = 4 cm and AC = 3 cm then the length of side AB = 3 cm.

Reason: Sides opposite to equal angles of a triangle are equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: d) Assertion is true but  reason is false.

14) Assertion : If the altitudes from two vertices of a triangle to the opposite sides are equal, then the triangle is an isosceles triangle.

Reason: If two angles and one side of one triangle are equal to two angles and the corresponding side of the other triangle, then the two triangles are congruent.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

15)Assertion : In the given figure, ABCD is a quadrilateral in which AB || DC and P is the midpoint of BC. On producing, AP and DC meet at Q then DQ = DC + AB.

Reason: If two sides and the included angle of one triangle are equal to two sides

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

16) Assertion: If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent

Reason: if AB/XY = BC/YZ = AC/XZ then ΔABC ~ΔXYZ.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

17) Assertion: Two triangles are said to be congruent to each other if two angles and one side of one triangle are equal to two angles and one side of the other triangle.

Reason: ∠ B = ∠ Q, ∠ C = ∠ R and sides between ∠B and ∠C , ∠Q and ∠ R are equal to each other i.e. BC= QR. Hence, Δ ABC ≅ Δ PQR  by AAS test

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

18) Assertion: In a Δ ABC, if AB = AC and ∠ B = 70°,  ∠ A=40

Reason: sum of angle of triangle  is 179°.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c)  Assertion is correct reason is false

19) Assertion: equilateral means unequal side.

Reason: all equilateral triangle are not isosceles.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: d) both Assertion and reason is false.

20) Assertion:equiangular means equal angles.

Reason: all isosceles triangle are equilangular

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

21) Assertion: all equiangular triangles are isosceles.

Reason: all equilateral triangle are equiangular.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

22) Assertion: all equilateral triangle are acute .

Reason: all acute triangles are equiangular

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false

23) Assertion: All the sides of a square are of equal length.

Reason: all squares are congruent.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false.

24) Assertion: In ΔABC,∠A=100° ,∠B=30°and ∠C=50° then AB>AC

Reason: the side opposite to largest angle is longest side of triangle .

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

25) Assertion: If length of the largest side of a triangle is 12 cm then other two sides of triangle can be 4.8 cm, 8.2cm

Reason: Sum of any two sides of a triangle is greater than the third side.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

26) Assertion: In congruent triangle corresponding part are equal.

Reason: Two triangles are congruent if any two pairs of angle and pairs of corresponding sides are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is  not correct explanation for Assertion.

27) Assertion: the triangle in which two sides are equal is called isosceles triangle.

Reason:angle opposite to  equal sides of an isosceles triangle are unequal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c)  Assertion is correct but reason is false

28) Assertion: each angle of equilateral triangle is 60°

Reason: all angles are equal then it is called equilateral triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

29) Assertion: Area of triangle = 1/2*base *height

Reason: area of right angled triangle = 1/2*product ofside making 90°

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

30) Assertion: triangle consist three side ,three vertices.

Reason: triangle is open polygon

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

31) Assertion: all the sides and angle are unequal are called scalene triangle.

Reason: scalene triangle has point of symmetry.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c)  Assertion is correct but reason is false.

32) assertion: A scalene triangle can be an obtuse-angled, acute-angled or right-angled triangle.

Reason: In a scalene obtuse triangle, the circumcenter will lie outside the triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

33) Assertion: the area of the scalene triangle ABC with the sides 8 cm, 6 cm and 4 cm is 11.6cm^2

Reason: Area of triangle =  √s(s−a)(s−b)(s−c)

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

34) Assertion: If the sides of a triangle are 9cm, 13 cm and 14cm.  36 its perimeter

Reason: perimeter of triangle= a+b+c

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

35) Assertion: Scalene triangle has all its three angles different in measures and obeys the angle sum property

Reason: the sum of the three interior angles equals 150 degree

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c)  Assertion is correct but reason is false

36) Assertion:The altitude from the apex of an isosceles triangle bisects the base into two equal parts and also bisects its apex angle into two equal angles.

Reason: The altitude from the apex of an isosceles triangle divides the triangle into two congruent right-angled triangles.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

37) Assertion: The vertex of the triangle that is opposite is called the apex.

Reason: The angle at the apex of the triangle is called the vertex angle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct and reason is not correct explanation for Assertion.

38) Assertion: A straight line drawn from the apex to the base is known as the altitude of the triangle.

Reason: The length of this line is the height of the triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

39) assertion: In an equilateral triangle, median, angle bisector, and altitude for all sides are all the same.

Reason: The area of an equilateral triangle is √3a^2/ 4

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct and reason is not correct explanation for Assertion.

40) Assertion: If any of the incenter, orthocenter or centroid coincide with the circumcenter of a triangle, then it is called an equilateral trtriangle

Reason: height of equilateral triangle is √3a/4

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false

41) Assertion: ABC is an equilateral triangle, then each angle equals to 60°

Reason: Equilateral triangle has all its sides equal and each angle measures 60°.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

42) Assertion: In a right triangle, the longest side is hypotenus.

Reason: the side opposite to the largest angle will be the smallest one.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

43) Assertion: SSA is  a criterion for the congruence of triangles.

 Reason: SAS, ASA and SSS are not the criteria for the congruence of triangles.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: d) both Assertion and reason are false

44) Assertion: In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are isosceles but not congruent

Reason: two  isosceles triangle are always congruent.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false

45) Assertion:  In ∆ PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is 2 cm

Reason: the sides opposite to equal angle are unequal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: d)  both Assertion and reason are  false

46) Assertion: Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be 3.4

Reason: the difference between the two sides of a triangle should be less than the third side.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

47) Assertion: In ∆ ABC, AB = AC and ∠B = 50°. Then ∠C is equal to50°

Reason: the given triangle is an isosceles triangle, the angles opposite to the equal sides are also equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

48) Assertion: two figures are congruent if they have same shape and same size.

Reason: two circles of different radii are congruent

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

49) Assertion: D is a point on side BC of Δ ABC such that AD = AC then AB<AD

Reason:  : In any triangle, the side opposite to the larger (greater) angle is smaller

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: d) both Assertion and reason are false

 50) Assertion: each angle of equilateral triangle is always 50°

Reason: equilateral triangle is always obtuse angled triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: d) both Assertion and reason are false.

1) Assertion: two angles are called adjacent if they have common vertex

Reason: the adjacent angle have common interior point.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is correct but reason is  false.

2) Assertion: the sum of two adjacent angle is 100° and one of them is 35° then other is 65°

Reason: adjacent angle are always supplementary.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

3) Assertion: an exterior angle of triangle is equal to sum of two interior opposite angle.

Reason: if two angles are complementary of each other then each angle is acute angle

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b)both Assertion and reason are correct but reason is not correct explanation of Assertion

4) Assertion: 80° is an acute angle type

Reason: the angle which is less than 90° is known as acute angle

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

5) Assertion: the measurment of angle A is 160 ° and it’s type is obtuse angle

Reason: the angle which is greater than 90°and smaller than 180° is known as obtuse angle

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

6) Assertion: The supplement of the angle (120+a−2b)° is (60−a+2b)°

Reason:  if the sum of two angle is 180° then the angle are supplementary

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

7) Assertion: If one angle of a triangle is equal to the sum of the other two angles, then the triangle is right angle triangle

Reason: In △ABC,∠A=∠B+∠C  sum of angles = 180

∠A+∠B+∠C=180

∠A+∠A=180

∠A=90° Thus, △ABC, is a right angled triangle

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) Assertion and reason are correct and reason is correct explanation for Assertion.

9) Assertion: complementary angle of 72(1/2)° is 17(1/2)

Reason: sum of two complementary angle is 90°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is not correct explanation for Assertion

10) Assertion: 183° is a type of reflex angle

Reason: a reflex angle is smaller than straight angle.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

11) Assertion: In ΔABC, ∠A=43°and ∠C=70°then   the measure of ∠B is 67°

Reason: sum of angle of triangle is 180°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

12) Assertion: sum of two adjacent angle is 70°

Reason: Two angles which have a different vertex, a different arm and same interiors are said to be adjacent angles.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason aassertion

Ans: d) both Assertion and reason are false

13) Assertion : Sum of the pair of angles 120° and 60° is supplementary.

Reason: Two angles, the sum of whose measures is 180°, are called supplementary angles.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason aassertion

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

14)  Assertion: The angles of a triangle are in the ratio 2:3: 4. The largest angle of the triangle is 80°.

Reason: The sum of all the interior angles of a triangle is 180°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason aassertion

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

15) Assertion: If angles ‘a’ and ‘b’ form a linear pair of angles and a = 40°, then b = 150°.

Reason: Sum of linear pair of angles is always 250°.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason assertion

Ans: d) both Assertion and reason are false

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason assertion

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

17) Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5:4, then the greater of the two angles is 100°

Reason: If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 180°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason assertion

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

18) Assertion: An angle is 14º more than its complementary angle, then angle is 52º.

Reason: Two angles are said to be supplementary if their sum of measure of angles is 180°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason assertion

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

19) Assertion: Supplement of angle is one fourth of itself. The measure of the angle is 144°

Reason: Two angles are said to be supplementary if their sum of measure of angles is 180°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

20) Assertion: The value of x from the adjoining figure, if ℓ || m is 15º.

Reason: If two parallel lines are intersected by a transversal, then each pair of corresponding angles so formed is equal.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans:b) both Assertion and reason are correct and reason is correct explanation for Assertion

21)  Assertion : If two internal opposite angles of a triangle are equal and external angle is given to be 110°, then each of the equal internal angle is 55°

Reason: A triangle with one of its angle 90°, is called a right triangle

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

22) Assertion: A triangle can have two obtuse angles.

Reason: The sum of all the interior angles of a triangle is 150°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false

23) Assertion: The name Straight-angle comes from straight-line.

Reason: The sum of angles that are formed on a straight line is equal to 180°.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

24) Assertion: A line segment is a part of a line with two end-points.

Reason: a line can be extended from both side

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

25) Assertion: Two lines are said to be parallel when they do not meet at any point or which do not intersects each other.

Reason: Parallel lines never meet no matter how much they are extended in either direction.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason aassertion

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

26) Assertion:a ray has only one end points.

Reason: A ray is a part of a line, which has a starting point and tends infinitely in both direction.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is correct and reason is false

27) Assertion: If the inclination between the arms is less than a right angle, it is called an acute angle.

Reason: 134° is type of acute angle

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is correct but reason is false

28) Assertion: If the arms form an angle of 90 degrees between them, it is called a right angle.

Reason: Two angles whose sum is equal to 90 degrees are called supplementary angles.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false

29) Assertion: Two angles whose sum is equal to 90 degrees are called complementary angles.

Reason: 58° and 32° are the complements of each other.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is  correct explanation for Assertion

30) Assertion: Two angles which are formed, opposite to each other, when two lines intersect at a point or vertex, are called vertically opposite angles.

Reason: A pair of vertically opposite angles are always equal to each other

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

31) Assertion: Bisectors of the adjacent angles forming a linear pair form a right angle.

Reason: Angles forming a linear pair can both be acute angles

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is correct but reason is false

32) Assertion: If the supplement of an angle is three times its complement, then angel is45°

Reason: Two complementary angles with a different  vertex and a different arm are called adjacent complementary angles.

correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false

33) Assertion: two adjacent angle always  formed a linear lair.

Reason: All linear pairs of angles are adjacent angles and all adjacent angles are linear pairs.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false

34) Assertion: a segment has  leangth

Reason: three lines are concurrent if they have common points

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

35) Assertion: 91° is an example of acute angle

Reason: A triangle which consists of three acute angles. It means that all the angles are less than 90 degrees is known as acute angle triangle.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

36) Assertion: straight angle is an 180°

Reason: reflex angle is grater than straight angle and less than complete angle.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion  and reason are correct but reason is not correct explanation for Assertion.

37) Assertion: two adjacent angle are equal. It is not necessary that each of these angle will be right angle.

Reason: two adjacent angles are equal .it is necessary that each of these angle will be a right angle.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false.

38) Assertion: Perpendicular lines always meet or intersect each other.

Reason: The angle between any two perpendicular lines is always equal to 90.°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

39) Assertion: an exterior angle of a triangle is equal to sum of corresponding two interior opposite angle

Reason: three pairs of corresponding angles formed by a transversal of two parallel lines

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false

40) Assertion: ∠A and ∠B are supplementary angles. ∠A=x+10° and ∠B=x−10° then ∠A and ∠B are 100° and 80°

Reason: The angles x−10° and 190°-x are  supplementary

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b)both asertion and reason are correct but reason is not correct explanation for Assertion.

41) Assertion: 70° is an acute angle type

Reason: the time is 12:30 o’clock, the angle formed between the hour hand and the minute hand is an acute angle.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is correct but reason is false

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

43) Assertion: The adjacent angles on a straight line are (5x−6)° and 7(x+6)° then the  value of x is  12

Reason: sum of adjacent angle on straight line is 180°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

44) Assertion: straigth angle>right angle>reflex angle

Reason: right angle> obtuse angle > acute angle

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false

45) Assertion: (110(1/2))° is a acute angle

Reason : 55° is less than 90 degrees and greater than 0 degrees , so it is called as acute angle.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false

47) Assertion: If two lines are parallel to each other, they don’t intersect each other. They meet each other at infinity.

Reason: Two parallel lines intersect at One point

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false.

48) Assertion: 60° is the complement of 30°

Reason: The complement angle of 80° is π/18 radian

a) both assertion and reason are correct and reason is the correct explanation for assertion

b) both assertion and reason are correct but reason is not correct explanation for assertion

c) assertion is true but reason is false

d both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion

1) Assertion: There can be infinite number of lines that can be drawn through a single point.

Reason: . from this point we can draw only two lines.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: c) Assertion is true but reason is false.

2) Assertion: Through two distinct points there can be only one line that can be drawn.

Reason: . . From this two point we can draw only one line

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: a) Assertion and reason are correct and reason is correct explanation for Assertion.

3) Assertion: According to Euclid’s 1st axiom- “Things which are equal to the same thing are also equal to one another”.

Reason:  if AB = PQ and PQ = XY, then AB = XY

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

4) Assertion: If two circles are equal, then their radii are equal.

Reason: The circumference and the centre of both the circles coincide; and thus, the radius of the two circles should be equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

5) Assertion: Parallel lines are those lines which never intersect each other

Reason: Parallel lines can be two or more lines.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

6) Assertion:  A dimensionless dot which is drawn on a plane surface is known as point.

Reason: A point is that which has no part.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

7) Assertion: : A collection of points that has only length and no breadth is known as a line

Reason: the line segment cannot be extended from both sides.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

8) Assertion: A collection of points that has only length and no breadth is known as a line

Reason: line can be extended from both side

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

9) Assertion: The whole is always greater than the part.

Reason: A cake when it is whole or complete, assume that it measures 2 pounds but when a part from it is taken out and measured, its weigh will be smaller than the previous measurement.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans:a) Assertion and reason are correct and reason is correct explanation for Assertion.

10) Assertion: A figure formed of line segments only is called a rectilinear figure.

Reason: A circle is a rectilinear figure.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: c) Assertion is correct but reason is false.

11) Assertion: The line drawn from the center of the circle to any point on its circumference is called radius of a circle

Reason: the line from any point on the circumference of the circle to the center of the circle is known as diameter of a circle

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: c) Assertion is true but reason is false.

12) Assertion: Euclid’s fifth postulate does imply the existence of the parallel lines.

Reason: If the sum of the interior angles is equal to the sum of the right angles, then the two lines will not meet each other at any given point, hence making them parallel to each other.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: c) Assertion is true but reason is false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: c) Assertion is true but reason is false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

14) Assertion: , if AB = CD, then AC = BD.

Reason: above statement we can prove by Euclid axiom 2 equals are added to equals, then the wholes are equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is correct explanation for Assertion.

15) Assertion: it is given that AD=BC. Then AC =BD

Reason: above line we can prove by Euclid axiom 3 If equals are subtracted from equals, the remainders are equal.”

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is correct explanation for Assertion.

16) Assertion: If A, B and C are any three points on a line and B lies between A and C  then prove that AB + BC = AC.

Reason: Euclid’s axiom 4, states that things which coincide with one another are equal to one another.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

17) Assertion: A Greek mathematician, thales is credited with giving the first known proof.

Reason: The first known proof that ‘the rectangle is bisected by its diameter was given by Pythagoras

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false.

Ans: c) assertion is correct but reason is false.

18) Assertion: 3 + 7 = 9 is a statement.

Reason: A sentence that can be judged to be true or false, but not both, is called a statement.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

19) Assertion: According to Euclid’s second axiom, when equals. are added to equals, the wholes are equal.

Reason: Ram and Ravi have the same weight. If they each gain weight by 2 kg, second Euclid’s axiom will be used to compare their weights?

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is  correct explanation for Assertion

20) Assertion:  Euclid’s fifth postulate imply the existence of parallel lines.

Reason: The sum of the interior angles will be equal to sum of the two right angles then two lines will not meet each other on either sides and therefore they will be parallel to each other.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

21) Assertion: If lines AB ,AC ,AD and AE are parallel to line l , the point A,B,C,D,E are collinear.

Reason : infinite line can be drawn through A and parallel to l.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: c) Assertion is true but reason is false

22) Assertion:  An infinite number of lines can be drawn to pass through a given point.

Reason: A line segment has two end-points.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

23) Assertion: The locus of points which is at a same distance from single point is called as ellipse

Reason: two lines are said to be perpendicular when angle between them is 80°

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: d) both Assertion and reason are false

24) Assertion: Boundaries of surfaces are curves.

Reason: surfaces are dimensional figures and their boundaries are one-dimensional which curves are.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion