Question

Assertion: ABCD is a quadrilateral in which P, Q, R and S are the mid - points of AB, BC, CD and DA respectively. Then, PQRS is a parallelogram.
Reason: The line segment joining the mid - points of any two sides of a triangle is parallel to the third side and equal to half of it.
Which of the following is correct?

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

Answer 1

The correct option is A Both assertion (A) and reason (R) are true and reason (R) is a correct explanation of assertion (A)

Clearly, reason (R) and assertion (A) are both true and reason (R ) gives assertion (A).
$\therefore$ The correct answer is (a).