Question

In a parallelogram PQRS, If M and N is the mid point of PQ and RS respectively, then shown that MN and PR bisects each other.​

Answer 1

Answer:

In parallelogram PQRS, 

We know that PQ=SR 

Given, M is the mid-point of PQ and N is the mid-point of RS

∴PM=MQ=SN=NR     ...(1)

and we know that sides PQ and RS are parallel to each other.

∴QM and NS will also be parallel to each other.

∴ We can say that MSNQ is a parallelogram

Hence its opposite sides will also be parallel

⇒MS∥QN

Answer 2

Answer:

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.