faithaspen36 faithaspen36

20-04-2022
Mathematics

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Given the parallelogram WEST below. Write a proof to show without using the theorem that states that diagonals of a parallelogram bisect each other

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topeadeniran2 topeadeniran2

02-05-2022

The theorem simply states that diagonals of a parallelogram bisect each other is proven as OA = OC.

How to proof the parallelogram?

From the information, OA = OC and OB = OD. In both triangles AOD and BOC, AD = BC since opposite angles are equal.

Also, ADO = CBO since alternate interior angles are equal. Also, DAO = BCO.

Therefore, OA = OC

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