Question

state what additional information is required in order to know that the triangles are congruent for the reason given. sas a) $overline{wx}congoverline{st}$ b) $angle vcongangle r$ or $angle wcongangle s$ c) $overline{xv}congoverline{tr}$ d) $angle vcongangle r$

Explanation:

Step1: Recall SAS congruence criterion

SAS (Side - Angle - Side) requires two pairs of corresponding sides and the included angle to be congruent.
We know one pair of sides $\overline{WV}\cong\overline{SR}$ and one pair of included angles $\angle W\cong\angle S$.

Step2: Identify missing side

We need the other pair of sides that include the given angles. That is $\overline{WX}\cong\overline{ST}$.

Answer:

A. $\overline{WX}\cong\overline{ST}$