Given TRS is congruent with VXWcwhich of the folleing is corresponding pairs is correct
It seems like there is a typo in the given information. The term "VXWc" does not make sense.
To determine the corresponding pairs, we need to identify the congruent parts in each triangle. In this case, we are given that TRS is congruent to VXWc. Let's analyze the triangle.
Triangle TRS:
- The corresponding vertex to T is V in VXWc.
- The corresponding vertex to R is W in VXWc.
- The corresponding vertex to S is X in VXWc.
Therefore, the correct corresponding pairs for the given congruence are:
- T corresponds to V.
- R corresponds to W.
- S corresponds to X.
To determine which pair corresponds to TRS and VXWc, we need to compare the corresponding parts of the congruent triangles. The corresponding parts are sides and angles that have the same relative position in each triangle.
In this case, we have the triangle TRS and VXWc. Let's break down the corresponding parts:
1. Sides:
- The sides TR and VX both correspond to each other since they are opposite vertices in their respective triangles.
- The side RS corresponds to side XW since they are adjacent sides in their respective triangles.
- The side ST corresponds to side XcW since they are adjacent sides in their respective triangles.
2. Angles:
- The angle TRS corresponds to angle VXW since they are in the same position in their respective triangles.
- The angle TS corresponds to angle XWc since they are in the same position in their respective triangles.
- The angle RST corresponds to angle WXc since they are in the same position in their respective triangles.
Now, we can compare the pairs:
a) TRS : XWc - The sides and angles match correctly. This pair is correct.
b) TRS : VWc - The sides do not match correctly. This pair is incorrect.
c) TRS : VcW - The sides do not match correctly. This pair is incorrect.
d) TRS : VW - The sides do not match correctly. This pair is incorrect.
Therefore, the corresponding pair that is correct is TRS : XWc.