Question

Triangle ABC and Triangle JKL are two triangles such that ∠A≅∠J and ∠B≅∠K. Which of the following would be sufficient to prove that the triangles are congruent?

A. AC≅JL

B. ∠C≅∠L

C. AB≅JK

D. BC≅JL

Answer 1

Option C (AB≅JK) is sufficient to prove that the triangles ABC and JKL are congruent.

Step-by-step explanation:

The triangles ABC and JKL are congruent if and only if all corresponding sides and angles are congruent. Given that ∠A≅∠J and ∠B≅∠K, we need to determine which option provides sufficient information to prove congruence.

Option A (AC≅JL) only provides information about the lengths of the sides, not the angles. Option B (∠C≅∠L) only provides information about the angles, not the sides. Option C (AB≅JK) provides information about both the lengths of the sides and the angles, and therefore, is sufficient to prove congruence. Option D (BC≅JL) provides information about the lengths of two sides, but not the angles, so it is not sufficient to prove congruence.