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Question
ABCD is a parallelogram. P and Q are mid-points of AB and CD. Prove that APCQ is also a parallelogram.
Solution
In quandrilateral APCQ,
AP || QC ...(since AB || CD)
AP = `(1)/(2)"AB"` ...(given)
CQ = `(1)/(2)"CD"` ...(given)
But AB = CD
⇒ AP = CQ
Therefore, APCQ is a parallelogram.
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