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In Δ  ABC, A = 30° , B = 40° and C = 110°. In Δ  PQR, P = 30° , Q = 40° and R = 110° .

 A student says that Δ  ABC  ≅ Δ  PQR by AAA congruence criterion. Is he justified? Why or why not? 

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No, because the two triangles with equal corresponding angles need not be congruent. In such a correspondence, one of them can be an enlarged copy of the other.

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