Teachoo MCQ Test

Assertion Reasoning Quiz

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

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 600
Question 1 of 7
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Question 1 of 7
Assertion (A): In a parallelogram, adjacent angles are invariably equal to each other.

Reason (R): In a parallelogram, opposite sides are parallel, establishing adjacent angles as supplementary (adding up to 180°).
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:DSolution:Assertion A is strictly false. Adjacent angles in a generic parallelogram are NOT equal (unless the shape is specifically a rectangle). Reason R is true; transversals crossing parallel lines mean the adjacent interior angles sum to 180°.
Select one option. Answers are shown after the test.
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.
Select one option. Answers are shown after the test.
Question 3 of 7
Assertion: A rhombus-shaped sign may have diagonals of different lengths.
Reason: The diagonals of a rhombus bisect each other at right angles.
Select one option. Answers are shown after the test.
Question 4 of 7
Assertion: A carpenter joins two equal wooden strips exactly at their midpoints. When a thread is passed through their four endpoints, the quadrilateral formed is always a rectangle, even if the angle between the strips is not 90°.
Reason: A quadrilateral whose diagonals are equal and bisect each other is a rectangle.
Select one option. Answers are shown after the test.
Question 5 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.
Select one option. Answers are shown after the test.
Question 6 of 7
Assertion (A): In an isosceles trapezium, the interior angles opposite to the equal non-parallel sides are equal.

Reason (R): An isosceles trapezium is a special type of parallelogram because its non-parallel sides are equal in length.
Select one option. Answers are shown after the test.
Question 7 of 7
Assertion (A):
It is geometrically impossible to construct a quadrilateral containing exactly three right angles and one acute angle.
Reason (R):
The sum of all four interior angles in any convex quadrilateral is exactly 360°.
Select one option. Answers are shown after the test.