Question

ABCD is a quadrilateral and P,Q,R,S are midpoint of sides AB, BC, CD, DA respectively. prove that PQRS is a parallelogram. ​

Answer 1

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$\huge\red\bigstar$GIVEN:-

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• P,Q,R,S are midpoint of sides AB, BC, CD, DA respectively.

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$\huge\red\bigstar$ PROVED THAT:-

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•PQRS is a parallelogram.

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$\red{<u>P</u><u>R</u><u>O</u><u>O</u><u>F</u>:-}$

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$\implies$According to diagram,

(1)PQ || AC

(2)SR || AC

from 1 & 2.

$\red{PQ || SR}$

in PQRS,

•one pair of opposite side is parallel.

.°. PQRS is a parallelogram.

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$\huge\red\bigstar$HENCE PROVED.

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Answer 2

Answer:

Your answer is given above the 18th one.