Question

mark any congruent parts on the triangles that can be proved. what additional piece of information is required to prove the triangles congruent by sss≅?

Explanation:

Step1: Recall SSS Congruence Criterion

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

Step2: Identify the Triangles and Known Sides

We have two triangles: $\triangle SUT$ and $\triangle DUT$. We know that $SU = DU$ (marked in the figure), and $UT$ is common to both triangles ($UT = UT$).

Step3: Determine the Missing Side

For SSS congruence, we need $ST=DT$.

Answer:

The additional piece of information required is $ST = DT$.