Question

In fig ABCD is a parallelogram, X and Y are the mid-
points of the sides AB and CD respectively show that PXQY is a parallelogra

Answer 1

Answer:

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Step-by-step explanation:

ABCD is a ||gm

=> AB || CD

and AB = CD

(since opposite sides are equal and parallel in a parallelogram)

Now,

since AB = CD

=> 1/2 AB = 1/2 CD

=> AX = CY

(since X is the midpoint, AX is half of AB and Y is the midpoint, CY is half of CD)

again,

since AB || CD

=> AX || CY

(Because they are part of AB and CD)

So now we have,

AX = CY

AX || CY

since Opposite sides are equal and parallel, AXCY is a parallelogram.

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