Question

ABCD is a parallogram in which P,Q,R,S mid points of the sides AB,BC,CD and DA.AC is a digonal then.​

Answer 1

$\fbox\red{A}\fbox\orange{N}\fbox\purple{S}\fbox\green{W}\fbox\blue{E}\fbox\pink{R}$

Required answer-:

ABCD is a parallogram in which P,Q,R,S mid points of the sides AB,BC,CD and DA respectively.

Join AC

In ️ABC,P and Q are mid points of sides AB and BC respectively.

∴PQ || AC and PQ =$\frac{1}{2}$AC (by mid point theoram)

In️ADC, R and S are the mid points of sides CD and AD respectively

∴RS || AC and RS = $\frac{1}{2}$AC (by mid point theoram)

From (i) and (ii)

PQ || RS and PQ=RS

In the quadrilateral PQRS one pair of opposite sides is equal and parallel.

∴ PQRS is a parallelogram.

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