Question

can you conclude that these triangles are congruent?

Explanation:

Step1: Identify congruence criteria

We check for SSS (Side - Side - Side), SAS (Side - Angle - Side) etc. Here we see that in \(\triangle UVS\) and \(\triangle UTS\), \(UV = UT\), \(VS=TS\) and \(US = US\) (common side).

Step2: Apply SSS congruence

By the SSS (Side - Side - Side) congruence criterion, if three sides of one triangle are equal to three sides of another triangle, the two triangles are congruent. Since \(UV = UT\), \(VS = TS\) and \(US=US\), \(\triangle UVS\cong\triangle UTS\).

Answer:

yes