ABCD is a parallelogram. P and Q are themidpoints of AB and DC. If P a

1.	ABCD is a parallelogram. P and Q are themidpoints of AB and DC. If P and Q arejoined, prove that APQD is a parallelogram.
Answer» MARK as brilliant follow me ABCD is a PARALLELOGRAM P and Q are the midpoints of sides AB and DC RESPECTIVELY . Since ABCD is a parallelogram,AB ║ CD and AB = CD P and Q are the MID points of AB and CD so, QC = 1/CD =1/AB = PB ie. QC = PB Also PB ║ QC and QC = PB then we get, PQ = BC Therefore PBCQ is also a parallelogram.

ABCD is a parallelogram. P and Q are themidpoints of AB and DC. If P and Q arejoined, prove that APQD is a parallelogram.

Answer»

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follow me

ABCD is a PARALLELOGRAM P and Q are the midpoints of sides AB and DC RESPECTIVELY .

Since ABCD is a parallelogram,AB ║ CD and AB = CD

P and Q are the MID points of AB and CD

so, QC = 1/CD =1/AB = PB

ie. QC = PB

Also PB ║ QC and QC = PB then we get, PQ = BC

Therefore PBCQ is also a parallelogram.