Question

ABCD is a parallelogram. P and Q are points on AB and DC respectively such that AP=CQ .prove that PQ and BD bisects each other
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Answer 1

Answer:

Since ABCD is a parallelogram .

⇒ AB | | DC

⇒ AP | | QC

∵ AP and QC are parts of AB and DC respectively]

Also, AP = CQ [given]

Thus, APCQ is a parallelogram .

We know that diagonals of a parallelogram bisect each other .

Hence AC and PQ bisect each other .

Answer 2

Answer:

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