Given △TRS ≅△VXW , which of the following corresponding pairs is correct?

A. ST ≅ WV
B. TR ≅XW
C.∠T ≅∠W
D. RS ≅ VX

1 answer

Since the triangles are congruent (△TRS ≅ △VXW), their corresponding sides and angles are equal.

The corresponding pairs based on the triangle congruence would be:

  • T corresponds to V
  • R corresponds to X
  • S corresponds to W

Based on these correspondences, we can analyze the options:

A. ST ≅ WV - This is incorrect since S corresponds to W, but T does not correspond to V here.

B. TR ≅ XW - This is incorrect. T corresponds to V and R corresponds to X.

C. ∠T ≅ ∠W - This is incorrect. ∠T corresponds to ∠V and ∠R corresponds to ∠X.

D. RS ≅ VX - This is correct because R corresponds to X and S corresponds to V.

Thus, the correct answer is D. RS ≅ VX.