Theorem 8.6
The diagonals of a parallelogram bisect each other
Given : ABCD is a Parallelogram with
AC and BD diagonals & O is the
point of intersection of AC and BD
To Prove : OA = OC & OB = OD
Proof : Since, opposite sides of Parallelogram are parallel.
In AOD and BOC
OAD = OCB
AD = CB
ODA = OBC
AOD BOC
So,
OA = OC & OB = OD
Hence Proved

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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