Question

ABCD is a square P Q M N are the mid points of the sides on which they lie prove that PQ =MN

Answer 1

Take reference to diagram drawn in attachment...

Step-by-step explanation:

Let the side of square be x

PB=BQ=ND=DM =x/2

In triangle NDM and PBQ

ND=BQ

DM=PB

Angle B= Angle D

By SAS rule, triangle NDM is congruent to triangle PBQ

By CPCT rule, PQ =MN

Hence proved