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?

In Δ ABC, ∠A = 30° , ∠B = 40° and ∠C = 110°. In Δ

1.	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?
Answer» 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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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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