Given △TRS≅△VXW

, which of the following corresponding pairs is correct?(1 point)
Responses

∠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

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

RS¯¯¯¯¯¯¯≅VX¯¯¯¯¯¯¯¯

1 answer

Given that triangles \( \Delta TRS \) and \( \Delta VXW \) are congruent, we can use the corresponding parts of congruent triangles (CPCTC) to determine the correct pairs.

The correct pairs based on the corresponding angles and sides of the triangles are:

  • \( \angle T \cong \angle V \)
  • \( ST \cong WX \)
  • \( TR \cong XV \)
  • \( RS \cong XW \)

From the options given in your question, let’s check each corresponding pair based on the symmetry of letters (angles and sides) in the triangles:

  1. \( \angle T \cong \angle W \) – This is incorrect. The correct correspondence is \( \angle T \cong \angle V \).

  2. \( \overline{ST} \cong \overline{WV} \) – This is incorrect. The correct correspondence is \( \overline{ST} \cong \overline{WX} \).

  3. \( \overline{TR} \cong \overline{XW} \) – This is incorrect. The correct correspondence is \( \overline{TR} \cong \overline{XV} \).

  4. \( \overline{RS} \cong \overline{VX} \) – This is incorrect. The correct correspondence is \( \overline{RS} \cong \overline{XW} \).

None of the listed options appear to be correct based on the standard notation for corresponding sides and angles in congruent triangles.

If you want to find the correct corresponding pairs from the figure or any additional context provided, ensure to reference the notation accurately to identify which is correct.