Question

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Answer 1

✨Hi mate here is the answer:--✨

QUESTION:-

ABCD is a parallelogram. P is a point on AD such that AP = 1/3 AD and Q is a point on BC such that CQ = 1/3 BC. Prove that AQCP is a parallelogram.

ANSWER:-

To Prove: AQCP is a parallelogram

Given: ABCD is a parallelogram.

AP = 1/3 AD and CQ = 1/3 BC.

Concept Used:

Opposite sides of a parallelogram are equal and parallel.

Proof:

Then, PQ││BC and PQ = 1/2 BC……….(i)

In ∆APQ, D and E are midpoints of AP and AQ resp.

∴DE││PQ, DE = 1/2 PQ………….(ii)

From (i) and(ii)

DE = 1/2 PQ = 1/4 BC

DE = 1/4 BC

Hence, Proved.

Hope it helps you ❣️❣️☑️☑️