Given TRS is congruent with VXW of the folleing is corresponding pairs is correct

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

The corresponding pairs that are correct are:

1: ST congruent with WV
2: T is congruent with W

Based on the given information that TRS is congruent with VXW, we can determine the corresponding pairs:

1. ST congruent with WV - This pair is not correct. There is no information given about the congruency between ST and WV.
2. TT congruent with XW - This pair is not correct either. There is no information given about the congruency between TT and XW.
3. T congruent with W - This pair is correct. According to the given information, T is congruent with W.
4. RS congruent with VX - This pair is correct. According to the given information, RS is congruent with VX.

Therefore, the corresponding pairs that are correct based on the given information are:
- T is congruent with W
- RS is congruent with VX.

To determine which pairs are correct, we need to understand what "congruent" means in geometry. Congruent segments or shapes have the same length or size.

Given: TRS is congruent to VXW

Let's break down the given information:

1. ST congruent with WV: This pair is not correct. We cannot conclude that ST is congruent to WV based on the given information. We only have information about TRS and VXW.

2. TT is congruent to XW: This pair is not correct. We cannot conclude that TT is congruent to XW based on the given information. We only have information about TRS and VXW, not individual segments.

3. T is congruent to W: This pair is not correct. The given information states that TRS is congruent to VXW, but it does not provide any information about individual segments.

4. RS is congruent to VX: This pair is correct. According to the given information, TRS is congruent to VXW, which implies that RS is congruent to VX.

Therefore, the correct corresponding pair is: RS is congruent with VX.