Question

Assertion (A): Two quadrilaterals are similar, if their corresponding angles are equal.

Reason (R): Two triangles are similar by AAA-criterion if their corresponding angles are equal.

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

• Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

• Assertion (A) is true and Reason (R) is false.

• Assertion (A) is false and Reason (R) is true.

Answer 1

Assertion (A) is false and Reason (R) is true.

Explanation:

Step 1 – Assertion: A is false. Equal corresponding angles alone do not establish that quadrilaterals are similar; their corresponding sides must also be proportional.

Step 2 – Reason: R is true. Two triangles with equal corresponding angles are similar by the AAA criterion.