For triangles, ABC and LMN, the given information, ∠A ≅ ∠L, ∠B ≅ ∠M, and ∠C ≅ ∠N, is not sufficient to prove triangles ABC and LMN are congruent through ASA.
In the question, we are given for triangles ABC and LMN, ∠A ≅ ∠L, ∠B ≅ ∠M, and ∠C ≅ ∠N.
We are asked whether the given information is sufficient to prove that the triangles ABC and LMN are congruent through ASA.
For two triangles to be congruent through ASA, two angles and the side between them of the first triangle needs to be equal to the corresponding parts of the second triangle.
For the given triangles, the three angles are given to be equal, but nothing is given to us about the sides.
So, ASA is not applicable.
Hence, for triangles, ABC and LMN, the given information, ∠A ≅ ∠L, ∠B ≅ ∠M, and ∠C ≅ ∠N, is not sufficient to prove triangles ABC and LMN are congruent through ASA.
Learn more about congruency of triangles at
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The provided question is incomplete. The complete question is:
"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."
