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Question
Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:
Solution
In the given figure BD bisect AC
In ΔAOB and ΔOCD
OA = OC ...(Given)
∠AOB = ∠DOC ...(vertically opposite angles)
∠B = ∠D ...(Given)
By ASA congruency
ΔAOB ≅ ΔOCD
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