Given TRS is congruent with VXW, Which of the following corresponding pairs is correct? Choose one answer

1:ST congruent with WV
2:TT is congruent with XW
3:T is congruent with W
4:RS is congruent with VX

1 answer

Given that triangles TRS and VXW are congruent, the corresponding parts of these triangles are also congruent. The notation typically used is that the first letter from one triangle corresponds to the first letter of the other triangle.

So, from the congruence TRS ≅ VXW, we can establish the following correspondences:

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

Based on these correspondences, let's evaluate the provided options:

  1. ST congruent with WV: This is correct because S (from TRS) corresponds to W (from VXW) and T (from TRS) corresponds to V (from VXW).
  2. TT is congruent with XW: This is incorrect as TT is not a valid comparison within the context of the two triangles.
  3. T is congruent with W: This is incorrect, as T corresponds to V, not W.
  4. RS is congruent with VX: This is also correct, since R corresponds to X and S corresponds to V.

Of the options presented, the most accurate interpretation of the congruence relationships:

  • 1: ST congruent with WV is the correct answer.

If you're looking for the correct pairs based on triangle congruences, the best answer is:

1: ST congruent with WV.