Question

complete the congruence statement for the figure below.
\\( \triangle v u w \cong \\)
\\( \bigcirc \\) a. \\( \triangle r s t \\)
\\( \bigcirc \\) b. \\( \triangle s t r \\)
\\( \bigcirc \\) c. \\( \triangle t r s \\)
\\( \bigcirc \\) d. \\( \triangle s r t \\)

Explanation:

In congruent triangles, corresponding vertices (marked by matching angles/sides) must be ordered correctly. For $\triangle VUW$:

• $\angle V$ corresponds to $\angle T$ (matching arc marks),
• $\angle U$ corresponds to $\angle R$ (matching arc marks),
• $\angle W$ corresponds to $\angle S$ (matching arc marks).

Thus, the congruent triangle is $\triangle TRS$ (order: $T$ ↔ $V$, $R$ ↔ $U$, $S$ ↔ $W$).

Answer:

c. $\triangle TRS$