Question

PQRS IS a parallelogram and the bisector of p bisect qr at m. Show that PS =2PQ

Answer 1

Step-by-step explanation:

Given,

QM=MR

<QPM=<MPS

<QPM=<PMQ(since mps=pmq alternate interior angles)

Therefore triangle PQM is isosceles

PQ=QM

QR=2QM=2PQ

but QR=PS

Hence PS=2PQ