two line segments A B and C D bisect each other two Triangles are formed by connecting its vertices is triangle AOC congruent to triangle BOD
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Let, this be figure of given condition.
In figure, line segments AB and CD bisect each other at O.
So, O is midpoint of CD and AB
Therefore,
OC = OD
OB = OA
and
∆AOC = ∆BOD•••[Vertically opposite Angles]
Hence, By SAS test we can say that,
∆AOC = BOD
So, YES
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