Question

The diagonal AC and BD of a parallelogram ABCD intersect at O If p is the mid point of AD prove
i)PQ|| AB
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Answer 1

Answer:

proved

Step-by-step explanation:

Make a mid point of BC and name it E. As we know that opposite sides of a ||gm are equal. So their mid points are also at the same distance from each other. So we can say that AP=BE.

In triangle AOP and BOE

AP=BE (proved above)

AO=BO (as o is the mid of both the diagonals AC and BD

And,angle O is common

Therefore, triangle AOP is congurent to BOE (by SAS congurency rule)

Which makes PO=OE(cpct)

Therefore PE =AB and AP=BE,which makes them parallel.☺

Answer 2

Answer:

Answer is in the picture.

Hope it is clear.....

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