Question

consider the given figure.
using the sss congruence criterion, what additional information is needed to show that ( \triangle rstcong\triangle uts )?
a. ( angle scongangle t )
b. ( overline{rt}congoverline{us} )
c. ( overline{rq}congoverline{qs} )
d. ( angle rcongangle u )

Explanation:

Step1: Recall SSS congruence criterion

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

Step2: Analyze the given triangles \(\triangle RST\) and \(\triangle UTS\)

We know that \(RS = UT\) (given by the tick marks). Also, \(ST\) is a common side (\(ST=TS\)). For SSS, we need the third pair of sides to be equal. That is \(RT = US\).

Answer:

B. \(\overline{RT}\cong\overline{US}\)