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In ΔABC, ∠A = 30^o , ∠B = 40^o and ∠C = 110^o In ΔPQR, ∠P = 30^o , ∠Q = 40^o and ∠R = 110^o A student says that ΔABC ≅ ΔPQR by AAA congruence criterion. Is he justified? Why or Why not?

In ΔABC, ∠A = 30^o , ∠B = 40^o and ∠C = 110^o In ΔPQR, ∠P = 30^o , ∠Q = 40^o and ∠R = 110^o A student says that ΔABC ≅ ΔPQR by AAA congruence criterion. Is he justified? Why or Why not?

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
9 months ago
Dear Student

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

Thanks

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