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Question
State whether the two triangles are congruent or not. Justify your answer
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Solution
Let the given triangles be ∆ABC and ∆CDE
Here `bar("AC") = bar("CE")` ...(given)
∠BAC = ∠DEC ...(given)
∠ACB = ∠DCE ...(vertically opposite angles)
Two angles and the included side are equal.
Therefore by ASA criterion ∆ABC ≅ ∆CDE.
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