P, Q, R, S are respectively the midpoints of the sides AB, BC, CD and DA of ||gm ABCD.
Channel: Doubtnut
Date: 03/01/2020

P, Q, R, S are respectively the midpoints of the sides AB, BC, CD and DA of ||gm ABCD. Show that PQRS is a parallelogram and also show that `ar(\"|| gm PQRS\")=(1)/(2)xxar(\"||gm ABCD)`.