Question

ABCD is a quadrilateral in which diagonals AC and BD bisect each other at O prove that AB and DC are equal and parallel

Answer 1

Answer:

Given:

ABCD is a quadrilateral

Diagonals AC and BD bisect each other

To prove:

i) AB = DC

ii) AB parallel DC

Proof:

Since diagonals AC and BD bisect each other, this implies

ABCD is a parallelogram

Since ABCD is a parallelogram,

=> AB  = DC

=> AB parallel DC

Hence, proved.

Answer 2

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