Question

S
20. In the given figure if P, Q, R and S be the
mid-points of sides AB, BC, CD and DA
respectively, prove that PQRS is a
parallelogram.
(CBSE SP 2011]
В.​

Answer 1

Answer:

Since, P and Q are the mid points of AB and BC respectively, therefore, by mid point theorem, PQ is parallel to AC.

similarly, RS is parallel to BD.

Since, opposite sides are parallel, therefore, PQRS is a parallelogram.

Proved