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
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