Given △TRS≅△VXW , which of the following corresponding pairs is correct?(1 point)

Question

Responses

TR¯¯¯¯¯¯¯≅XW¯¯¯¯¯¯¯¯¯¯
Modifying above upper T upper R with bar congruent to Modifying above upper V upper W with bar

ST¯¯¯¯¯¯¯≅WV¯¯¯¯¯¯¯¯¯
Modifying above upper S upper T with bar congruent to Modifying above upper W upper V with bar

∠T≅∠W
angle upper T congruent to angle upper W

RS¯¯¯¯¯¯¯≅VX¯¯¯¯¯¯¯¯

Answer 1

Given that \( \triangle TRS \cong \triangle VXW \), we know that corresponding sides and angles of the two triangles are congruent.

In triangle congruence:

1. The first vertex \( T \) corresponds to \( V \).
2. The second vertex \( R \) corresponds to \( X \).
3. The third vertex \( S \) corresponds to \( W \).

Based on this correspondence, we can analyze the pairs listed:

1. \( \overline{TR} \cong \overline{XW} \) - This is incorrect as \( TR \) corresponds to \( VX \), not \( XW \).

2. \( \overline{ST} \cong \overline{WV} \) - This is incorrect as \( ST \) corresponds to \( WX \), not \( WV \).

3. \( \angle T \cong \angle W \) - This is correct because angle \( T \) corresponds to angle \( V \), not \( W \).

4. \( \overline{RS} \cong \overline{VX} \) - This is correct as \( RS \) corresponds to \( WX \).

The correct corresponding pairs are:

• \( \overline{TR} \cong \overline{VX} \)
• \( \overline{RS} \cong \overline{WX} \)
• \( \angle T \cong \angle V \)

However, the provided choices do not directly match the correct corresponding pairs.

Thus, the only correct option based on the congruence statement is:

• \( \angle T \cong \angle W \)

Please verify the correctness or context of your question as it seems there could be inconsistencies with the options provided and the correct angles and sides.