Given that \( \triangle TRS \cong \triangle VXW \), we can identify the corresponding parts of the triangles using the fact that congruent triangles have equal corresponding angles and sides.
From the congruence of the triangles, we can match them as follows:
- \( T \) corresponds to \( V \)
- \( R \) corresponds to \( X \)
- \( S \) corresponds to \( W \)
Thus, the corresponding pairs of angles and sides are:
- \( \angle T \cong \angle V \)
- \( \angle R \cong \angle X \)
- \( \angle S \cong \angle W \)
- \( \overline{TR} \cong \overline{VX} \)
- \( \overline{RS} \cong \overline{XW} \)
- \( \overline{ST} \cong \overline{WV} \)
Based on your options:
- \( \angle T \cong \angle W \) - Incorrect
- \( \overline{ST} \cong \overline{WV} \) - Incorrect
- \( \overline{RS} \cong \overline{VX} \) - Incorrect
- \( \overline{TR} \cong \overline{XW} \) - Incorrect
None of the given response options reflect the correct corresponding pairs. The correct responses should be:
- \( \angle T \cong \angle V \)
- \( \overline{ST} \cong \overline{WV} \)
- \( \overline{RS} \cong \overline{XW} \)
- \( \overline{TR} \cong \overline{VX} \)
From the options listed, none are correct based on the congruence given.