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CBSE Class 9 Answered

Prove that the diagonals of a parallelogram bisect each other.
Asked by Topperlearning User | 16 Aug, 2017, 02:15: PM
answered-by-expert Expert Answer
 
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.
Answered by | 16 Aug, 2017, 04:15: PM

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