Question

Is ∆JKL ≅ ∆KJM ? Justify your answer below.

Answer 1

Explanation:

∠JLK = ∠KMJ

LK = MJ

∠LKJ = ∠MJK

∆JKL ≅ ∆KJM {Angle side Angle - ASA congruence}

Answer 2

Yes, the triangles are congruent by ASA

Explanation:

we know that

If any two angles and the included side are the same in both triangles, then the triangles are congruent by Angle-Side-Angle (ASA)

In this problem

LK=MJ

∠KLJ=∠KMJ

∠LKJ=∠MJK

so

Two angles and the included side is equal in triangle JKL and triangle KJM

therefore

JKL≅KJM ----> by ASA