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ABCD is a parallelogram. Tow points P an...

ABCD is a parallelogram. Tow points P and Q are taken on sides AD and BC respectively such that AP `1/3ADand CQ=1/3BC.` Prove that `squareAQCP` is a parallelogram.

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Given that,
`squareABCD` is a parallelogram
`implies" "AD=BCandAD"||"BC`
(one pair of opposite sides is equal and parallel)
`implies" "1/3AD=1/3BCand AP"||"QC`
`implies" "AP=QCandAP"||"QC`
`implies" "squareAQCP` is a parallelogram.
`" "(therefore"one pair of opposite sides are equal and parallel")`
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