Given that △TRS ≅ △VXW, the congruent pairs of sides and angles can be determined based on the corresponding vertices.
From the information given:
- T corresponds to V
- R corresponds to X
- S corresponds to W
This gives us the following corresponding congruent elements:
- TR ≅ VX (sides)
- RS ≅ XW (sides)
- ST ≅ WV (sides)
- ∠T ≅ ∠V (angles)
- ∠R ≅ ∠X (angles)
- ∠S ≅ ∠W (angles)
Now evaluating the options you provided:
- RS ≅ VX → Incorrect
- ∠T ≅ ∠W → Incorrect (should be ∠T ≅ ∠V)
- ST ≅ WV → Correct
- TR ≅ XW → Incorrect (should be TR ≅ VX)
Out of the options presented, the correct corresponding pair is:
- ST¯¯¯¯¯¯¯≅WV¯¯¯¯¯¯¯¯¯ (Option 3)