Answer :

__Given:-__ABCD is a parallelogram

P,Q are the midpoints of sides AB and DC respectively.

__Solution:-__

In parallelogram ABCD

If P,Q are the midpoints of sides AB and DC respectively

∴ DC=2QC=2QD

∴ AB=2AP=2PB

If DC||AB

Then;

QD||AP and QC||PB

Line PQ divides the parallelogram in 2 equal parts

Because P and Q are midpoints

∴ AD||PQ||CB

If;

PQ||CB and QC||PB

Then, PBCQ is also a parallelogram

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