ABCD is a parallelogram p and q are the midpoints of Ab and dC if p and q are joined prove that a APQD is a parallelogram.
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Step-by-step explanation:
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.
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