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Maths Quadrilaterals Class 8 (Ganita Prakash) Assertion and Reason Questions

Assertion Reasoning Quiz · Class 8 · Maths · CBSE

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Chapter 4 Class 8 - Quadrilaterals (Ganita Prakash) | 7 questions | about 6 minutes

Practise Quadrilaterals Class 8 (Ganita Prakash) with Teachoo's Assertion Reasoning Quiz (Class 8 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 7
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Question 1 of 7
Assertion: In an isosceles trapezium, the two angles adjacent to the same base are equal.
Reason: The diagonals of every isosceles trapezium are perpendicular.
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Question 2 of 7
Assertion (A): The Carpenter's method of joining two wooden strips of exactly equal length at their intersecting midpoints universally forms a rectangle.

Reason (R): A quadrilateral structured whose diagonals are of equal length and bisect each other strictly fulfills the properties of a rectangle.
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Question 3 of 7
Assertion: The endpoints of two perpendicular diameters of a circle form a square when joined in order.
Reason: The two diameters are equal, bisect each other at the centre, and are perpendicular.
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Question 4 of 7
Assertion: In a parallelogram-shaped tile, if one angle is 35°, each of the two adjacent angles is 145°.
Reason: The opposite angles of a parallelogram are equal.
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Question 5 of 7
Assertion (A): In a kite, the diagonals intersect at exactly right angles (90°).

Reason (R): The sum of the interior angles of a kite is always 360°.
A) Both A and R are true and R is the correct explanation of A.
B) Both A and R are true but R is not the correct explanation of A.
C) A is true but R is false.
D) A is false but R is true.
Answer:BSolution:Both statements are true. A kite's diagonals are perpendicular, and all convex quadrilaterals have an internal angle sum of 360°. However, the angle sum property (R) has nothing to do with explaining why the diagonals intersect at 90°. The true reason lies in SSS congruence applied to the adjacent equal sides acting symmetrically.
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Question 6 of 7
Assertion: If both pairs of opposite sides of a quadrilateral are equal, the quadrilateral must be a parallelogram.
Reason: After drawing a diagonal, the two triangles formed are congruent by SSS, which gives equal alternate angles and therefore parallel opposite sides.
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Question 7 of 7
Assertion (A): If all four interior angles of a quadrilateral measure 90°, it is rigorously classified as a rectangle.

Reason (R): In a quadrilateral where all angles are 90°, drawing a diagonal creates congruent triangles via AAS congruence, mathematically proving the opposite sides are equal.
ABCD
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