Question

Given triangle TRS is congruent to Triangle VXW which of the following corresponding pairs is correct?

Line segment ST is congruent to line segment WV
Line segment RS is congruent to line segment VX
Angle T is congruent to angle W
Line segment TR is congruent to line segment XW

Answer 1

Given that triangle TRS is congruent to triangle VXW, we can use the properties of congruent triangles to determine the correct corresponding pairs. The corresponding vertices of congruent triangles are matched up as follows:

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

Using this matching, the corresponding relationships for the sides and angles are:

1. Line segment TR is congruent to line segment VX (TR corresponds to VX).
2. Line segment RS is congruent to line segment XW (RS corresponds to XW).
3. Line segment ST is congruent to line segment WV (ST corresponds to WV).
4. Angle T is congruent to angle V (T corresponds to V).

Now, let's evaluate the given options:

1. Line segment ST is congruent to line segment WV - **This is correct** (S corresponds to W, and T corresponds to V).
2. Line segment RS is congruent to line segment VX - **This is incorrect** (R corresponds to X, and S corresponds to W).
3. Angle T is congruent to angle W - **This is incorrect** (T corresponds to V, not W).
4. Line segment TR is congruent to line segment XW - **This is incorrect** (TR corresponds to VX).

Therefore, **the correct corresponding pair is: Line segment ST is congruent to line segment WV.**