Each question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option. Assertion (A) Reason (R) 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. 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.

Question

Philoid · Accepted Answer

It is given that, 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

Also, 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.

Hence, both assertion and reason are true and reason is correct explanation of the assertion

∴ Option (a) is correct

Assertion (A)	Reason (R)
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.	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.