Question

In triangles ABC and LMN, ∠A ≅ ∠L, ∠B ≅ ∠M, and ∠C ≅ ∠N. Is this information sufficient to prove triangles ABC and LMN congruent through ASA? Explain your answer.

Answer 1

∠A ≅ ∠L, ∠B ≅ ∠M, and ∠C ≅ ∠N; to prove that triangles ABC and LMN using the angle - side - angle, one corresponding side of both triangles must be congruent. Hence the information is insufficient.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Two triangles are said to be congruent if they have the same shape and their corresponding sides and angles are congruent.

Given that ∠A ≅ ∠L, ∠B ≅ ∠M, and ∠C ≅ ∠N; to prove that triangles ABC and LMN using the angle - side - angle, one corresponding side of both triangles must be congruent. Hence the information is insufficient.

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