Question

HELP!

Decide weather there is enough information to prove the following triangles are congruent. Justify your answer for each pair of triangles. Is JKL = KJM? Justify your answer below

Answer 1

Yes. KL is congruent to JM. <K is congruent to <J. <M is congruent to <L.

Answer 2

Yes, those triangles are congruent by ASA postulate.

Explanation:

According to the graph, we know by given

`\angle KLJ \cong \angle JMK\\\angle LKJ \cong \angle MJK\\LK \cong MJ`

As you can observe, we already have two pair of corresponding angles congruent, and one pair of corresponding sides congruent.

Therefore, the congruence ΔJKL ≅ ΔKJM can be demonstrated by ASA postulate (Angle-Side-Angle).