show taut PBCQ is a parallelogram
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Step-by-step explanation:
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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