In the congruence of triangles \( \triangle TRS \cong \triangle VXW \), the corresponding parts of the triangles should match.
The corresponding pairs based on triangle congruence are:
- \( \overline{TR} \) corresponds to \( \overline{VX} \)
- \( \overline{RS} \) corresponds to \( \overline{XW} \)
- \( \overline{ST} \) corresponds to \( \overline{WV} \)
- \( \angle T \) corresponds to \( \angle W \)
- \( \angle R \) corresponds to \( \angle X \)
- \( \angle S \) corresponds to \( \angle V \)
Given the question, the correct pairs from your options are:
- \( \overline{RS} \cong \overline{VX} \) (not correct)
- \( \angle T \cong \angle W \) (correct)
- \( \overline{ST} \cong \overline{WV} \) (not correct)
- \( \overline{TR} \cong \overline{XW} \) (not correct)
Therefore, the correct corresponding pair is: \( \angle T \cong \angle W \).