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Prove triangle AOC is congruent to triangle BOD​

Prove triangle AOC is congruent to triangle BOD​-example-1

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Explanation:

We are given two Triangles and we need to prove them congruent . In ∆AOC and ∆BOD , we have


\to AC = BD ( given ) \\\\\to OD = OA \\\\\to \angle CAO =\angle BDO (Since\ BD || AC )

Therefore by AAS congruent condition we can say that ,


\implies\red{ \triangle AOC \cong \triangle BOD }

Hence Proved!

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