Two lines AB and CD intersect at O such that BC is equal and parallel to AD.
Question:

Two lines AB and CD intersect at O such that BC is equal and parallel to AD. Prove that the lines AB and CD bisect at O.

Solution:

Given that lines AB and CD Intersect at O.

Such that BC ∥ AD and BC = AD … (i)

We have to prove that AB and CD bisect at O.

To prove this first we have to prove that ΔAOD ≅ ΔBOC

 

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