Question

prove that diagonal of a parallelogram bisect each other​

Answer 1

Step-by-step explanation:

ABCD is a parallelogram, diagonals AC and BD intersect at O

In triangles AOD and COB,

DAO = BCO                               (alternate interior angles)

AD = CB

ADO = CBO                               (alternate interior angles)

AOD COB                           (ASA)

Hence, AO = CO and OD = OB          (c.p.c.t)

Thus, the diagonals of a parallelogram bisect each other.

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