Question

In quadrilateral ABCD, P,Q,R,S are mid-point of sides AB,BC,CD,DA respectively then prove that quadrilateral ABCD is parallelogram

Answer 1

Answer:

Pls check if it is correct or not

Answer 2

Argument behind PQ=SR and PQ∥AC:-

In triangle ABC, P, Q are the mid points of the sides AB, BC.

So it follows that PQ= ½

AC ...(1) and PQ∥AC.

Similarly from triangle ACD it follows that SR= ½

AC ...(2) and SR∥AC.

From (1) and (2) we've,

PQ=SR.