Question

18 what additional information is needed to prove that the triangles are congruent by sss?

Explanation:

Step1: Recall SSS congruence criterion

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

Step2: Analyze given figure

In triangles $\triangle TUV$ and $\triangle TWV$, we see that $TV = TV$ (common side) and one pair of corresponding sides are marked equal (say $UV=WV$).

Step3: Determine missing side - side equality

We need to know that $TU = TW$.

Answer:

We need to know that $TU = TW$.