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

Question

Responses

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

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

RS¯¯¯¯¯¯¯≅VX¯¯¯¯¯¯¯¯

Answer 1

Given that \( \triangle TRS \cong \triangle VXW \), we can use the properties of congruent triangles to determine corresponding pairs.

The corresponding parts of congruent triangles must match in pairs, according to the order of the vertices. Starting from the congruence statement, we can line up the vertices:

• \( T \) corresponds to \( V \)
• \( R \) corresponds to \( X \)
• \( S \) corresponds to \( W \)

Now let's analyze the options:

1. \( ST \cong WV \)

   • This is incorrect because \( S \) corresponds to \( W \) and \( T \) corresponds to \( V \), making the sides \( RS \) (not \( ST \)) correspond to \( WX \) (and \( ST \) does not have a corresponding side).

2. \( \angle T \cong \angle W \)

   • This is incorrect because \( \angle T \) corresponds to \( \angle V \).

3. \( TR \cong XW \)

   • This is incorrect because \( TR \) corresponds to \( VX \), not \( XW \).

4. \( RS \cong VX \)

   • This is correct because \( RS \) corresponds to \( VX \).

The correct corresponding pair from the options is: RS¯¯¯¯¯¯¯≅VX¯¯¯¯¯¯¯¯