Assertion Reasoning Quiz

Question 1 of 7

Assertion: A quadrilateral that is both a kite and a parallelogram must be a rhombus.
Reason: A parallelogram has equal opposite sides, and a kite has equal adjacent pairs; together these force all four sides to be equal.

A Both Assertion and Reason are true, and Reason is the correct explanation of Assertion. B Both Assertion and Reason are true, but Reason is not the correct explanation of Assertion. C Assertion is true, but Reason is false. D Assertion is false, but Reason is true.

Select one option. Answers are shown after the test.

Question 2 of 7

Assertion (A): The diagonals of a square uniquely bisect the interior angles of the square.
Reason (R): The diagonals of a square are inherently unequal in length, forcing an uneven angular split.

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.

Select one option. Answers are shown after the test.

Question 3 of 7

Assertion (A):
The diagonals of a square uniquely bisect the interior angles of the square.
Reason (R):
The diagonals of a square are inherently unequal in length, forcing an uneven angular split.

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.

Select one option. Answers are shown after the test.

Question 4 of 7

Assertion (A):
If one interior angle of a rhombus is 90°, the rhombus mathematically becomes a square.
Reason (R):
In a rhombus, adjacent angles sum to 180° and opposite angles are equal. Therefore, one 90° angle mathematically forces all four angles to be 90°.

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.

Select one option. Answers are shown after the test.

Question 5 of 7

Assertion (A): Every square is correctly classified as a rhombus in a geometric Venn diagram.

Reason (R): The diagonals of a square always bisect each other at an exact 90° angle.

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.

Select one option. Answers are shown after the test.

Question 6 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.

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.

Select one option. Answers are shown after the test.

Question 7 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.

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.

Select one option. Answers are shown after the test.

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