Question

In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice:

Assertion: In a parallelogram PQRS, area of △PQS is equal to area of △QSR.
Reason: A diagonal of a parallelogram divides it into two congruent triangles.

A. Both assertion (A) and reason (R) are true, but reason (R) is the correct explanation of assertion (A).
B. Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).
C. Assertion (A) is true, but reason (R) is false.
D. Assertion (A) is false, but reason (R) is true.

Answer 1

The diagonal SQ divides the parallelogram into 2 congruent triangles, namely PQS and QRS.
We know that congruent triangles have the same area.
So, the area of the triangle QRS = area of the triangle PQS.
Hence, both assertion (A) and reason (R) are true, but reason (R) is the correct explanation of assertion (A)