Question

ABCD is quadrilateral.
P, Q, R and S are the midpoints of
side AB, BC, CD and DA respectively.
Prove that PQRS is a parallelogram​

Answer 1

Given :-

• P,Q,R,S are midpoint of sides AB, BC, CD and DA respectively.

To Prove :-

• PQRS is a parallelogram.

Proof :-

According to the diagram

(1) PQ || AC

(2) SR || AC

From 1 & 2

PQ || SR

In PQRS,

• One pair of opposite side is parallel.

PQRS is a Parallelogram.

HENCE PROVED