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

No, this information is not sufficient to prove triangles ABC and LMN congruent through ASA (Angle-Side-Angle). Although the corresponding angles are congruent, there is no information given about the lengths of the sides of the triangles. In order to use ASA to prove congruence, we need to have information about both angles and at least one side being congruent in both triangles. Since there is no information about the sides in this case, we cannot use ASA to prove congruence.