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

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