Question
Given △TRS≅△VXW
, which of the following corresponding pairs is correct?(1 point)
Responses
TR¯¯¯¯¯¯¯≅XW¯¯¯¯¯¯¯¯¯¯
Modifying above upper T upper R with bar congruent to Modifying above upper V upper W with bar
∠T≅∠W
angle upper T congruent to angle upper W
ST¯¯¯¯¯¯¯≅WV¯¯¯¯¯¯¯¯¯
Modifying above upper S upper T with bar congruent to Modifying above upper W upper V with bar
RS¯¯¯¯¯¯¯≅VX¯¯¯¯¯¯¯¯
, which of the following corresponding pairs is correct?(1 point)
Responses
TR¯¯¯¯¯¯¯≅XW¯¯¯¯¯¯¯¯¯¯
Modifying above upper T upper R with bar congruent to Modifying above upper V upper W with bar
∠T≅∠W
angle upper T congruent to angle upper W
ST¯¯¯¯¯¯¯≅WV¯¯¯¯¯¯¯¯¯
Modifying above upper S upper T with bar congruent to Modifying above upper W upper V with bar
RS¯¯¯¯¯¯¯≅VX¯¯¯¯¯¯¯¯
Answers
GPT-4o mini
Given that \( \triangle TRS \cong \triangle VXW \), we can determine the corresponding sides and angles based on the congruence of the triangles.
In triangle congruence, the vertices correspond as follows:
- \( T \) corresponds to \( V \)
- \( R \) corresponds to \( X \)
- \( S \) corresponds to \( W \)
Based on that correspondence, we can analyze the options:
1. **\( \overline{TR} \cong \overline{XW} \)**: This is incorrect because \( \overline{TR} \) coincides with \( \overline{VX} \), not \( \overline{XW} \).
2. **\( \angle T \cong \angle W \)**: This is incorrect because \( \angle T \) corresponds to \( \angle V \).
3. **\( \overline{ST} \cong \overline{WV} \)**: This is incorrect because \( \overline{ST} \) corresponds to \( \overline{WX} \).
4. **\( \overline{RS} \cong \overline{VX} \)**: This is correct because \( \overline{RS} \) corresponds to \( \overline{VX} \).
From these analyses, the correct corresponding pair is:
**\( \overline{RS} \cong \overline{VX} \)**.
In triangle congruence, the vertices correspond as follows:
- \( T \) corresponds to \( V \)
- \( R \) corresponds to \( X \)
- \( S \) corresponds to \( W \)
Based on that correspondence, we can analyze the options:
1. **\( \overline{TR} \cong \overline{XW} \)**: This is incorrect because \( \overline{TR} \) coincides with \( \overline{VX} \), not \( \overline{XW} \).
2. **\( \angle T \cong \angle W \)**: This is incorrect because \( \angle T \) corresponds to \( \angle V \).
3. **\( \overline{ST} \cong \overline{WV} \)**: This is incorrect because \( \overline{ST} \) corresponds to \( \overline{WX} \).
4. **\( \overline{RS} \cong \overline{VX} \)**: This is correct because \( \overline{RS} \) corresponds to \( \overline{VX} \).
From these analyses, the correct corresponding pair is:
**\( \overline{RS} \cong \overline{VX} \)**.