Question

▱PQRS is parallelogram. M is the midpoint of side PQ and N is the midpoint of side RS. Prove that  ▱PMNS and ▱MQRN are parallelograms​

Answer 1

Step-by-step explanation:

Looking at figure attached

In quadrilateral MSNQ

Since PQ= SR so QM=SN

and science PQRS is a parallelogram so QM and Sn are parallel to each other.

Now we have sufficient condition to prove that MSQN is parallelogram so its opposite sides are parallel so MS || QN.

option D is incorrect so correct answer according to question is Option D.