Question

in the figure shown, what additional information is needed to show that △rst≅△xwv by sss? a (overline{rt}congoverline{wx}) d no additional information is needed b (angle tcongangle v) e (overline{rt}congoverline{vx}) c (angle scongangle w)

Explanation:

Step1: Recall SSS congruence criterion

SSS (Side - Side - Side) states that if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

Step2: Identify the given and missing sides

We need to match the sides of \(\triangle RST\) and \(\triangle XWV\). We already know some side - congruences from the figure's markings. The missing side - congruence for SSS is to show that the third pair of sides are congruent. The third pair of corresponding sides are \(RT\) and \(VX\). So we need \(\overline{RT}\cong\overline{VX}\).

Answer:

E. \(\overline{RT}\cong\overline{VX}\)