Question

what other information do you need in order to prove the triangles congruent using ASA congruence?

JNK=LMK
KNJ=NJK
NKJ=JKL
KLM=LMK

Answer 1

In ∆JNK and ∆LKM
1.JKN=LKM
2.NK=KM
3.JNK=KML

so by ASA
∆JNK~=∆LKM

Answer 2

Answer: ∠JNK=∠LMK

Step-by-step explanation:

In the given picture we have two triangles sharing the same vertex K.

Now, In ΔJKN and ΔLKM

∠JKN=∠LKM    [Vertically opposite angles]

NK=KM [given]

To prove the triangles congruent using ASA congruence, we need ∠JNK=∠LMK.

ASA congruence theorem says that triangles are congruent if any two angles and their included side are equal in both triangles. There are five ways to test that two triangles are congruent.