Question

what other information do you need in order to prove the triangles congruent using the sas congruence postulate? possible points: 1. △njr ≅ △j 2. mn ≅ mj 3. lm ≅ hn, mn ≅ mj 4. ∠l ≅ ∠h

Explanation:

Step1: Recall SAS congruence postulate

The SAS (Side - Angle - Side) congruence postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Step2: Analyze given information

We are given that $\overline{LM}\cong\overline{HN}$ and $\overline{MN}\cong\overline{MJ}$. We need the included angles between these pairs of sides to be congruent. The included angle for $\overline{LM}$ and $\overline{MN}$ in one triangle is $\angle M$, and the included angle for $\overline{HN}$ and $\overline{MJ}$ in the other triangle is $\angle N$. So we need $\angle M\cong\angle N$.

Answer:

$\angle M\cong\angle N$