can you conclude that these triangles are congruent?

Answer

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