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

¯
ST ≅
¯
WV
∠T ≅ ∠W
¯
RS ≅
¯
VX
¯
TR ≅
¯
XW

1 answer

In the congruence of triangles \( \triangle TRS \cong \triangle VXW \), the corresponding parts of the triangles should match.

The corresponding pairs based on triangle congruence are:

  • \( \overline{TR} \) corresponds to \( \overline{VX} \)
  • \( \overline{RS} \) corresponds to \( \overline{XW} \)
  • \( \overline{ST} \) corresponds to \( \overline{WV} \)
  • \( \angle T \) corresponds to \( \angle W \)
  • \( \angle R \) corresponds to \( \angle X \)
  • \( \angle S \) corresponds to \( \angle V \)

Given the question, the correct pairs from your options are:

  1. \( \overline{RS} \cong \overline{VX} \) (not correct)
  2. \( \angle T \cong \angle W \) (correct)
  3. \( \overline{ST} \cong \overline{WV} \) (not correct)
  4. \( \overline{TR} \cong \overline{XW} \) (not correct)

Therefore, the correct corresponding pair is: \( \angle T \cong \angle W \).