Question

1. suppose $overline{td}congoverline{sg}$ and $overline{md}congoverline{sl}$. what additional information is needed to prove the two triangles congruent by sas?

$angle dcongangle g$
$angle dcongangle s$
$angle tcongangle s$
$angle lcongangle s$

Explanation:

Step1: Recall SAS congruence criterion

The Side - Angle - Side (SAS) congruence criterion 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: Identify given sides

We are given that $\overline{TD}\cong\overline{SG}$ and $\overline{MD}\cong\overline{SL}$. The included angles for these pairs of sides are $\angle D$ and $\angle G$ respectively.

Answer:

$\angle D\cong\angle G$