Given △TRS≅△VXW , which of the following corresponding pairs is correct?(1 point)
RS¯¯¯¯¯¯¯≅VX¯¯¯¯¯¯¯¯
TR¯¯¯¯¯¯¯≅XW¯¯¯¯¯¯¯¯¯¯
∠T≅∠W
ST¯¯¯¯¯¯¯≅WV¯¯¯¯¯¯¯¯¯
The correct corresponding pair is RS¯¯¯¯¯¯¯≅VX¯¯¯¯¯¯¯¯.
The correct corresponding pairs are:
RS¯¯¯¯¯¯¯≅VX¯¯¯¯¯¯¯¯
TR¯¯¯¯¯¯¯≅XW¯¯¯¯¯¯¯¯¯¯
To determine which corresponding pairs are correct, we need to understand what it means for two triangles to be congruent. Congruent triangles have the same shape and size, meaning their corresponding sides and angles are equal.
Given that △TRS≅△VXW, we can conclude that the corresponding sides and angles are equal. Now let's evaluate each option:
1. RS¯¯¯¯¯¯¯≅VX¯¯¯¯¯¯¯¯: This corresponds to the sides of the triangles. Since the triangles are congruent, their corresponding sides are equal, so this pair is correct.
2. TR¯¯¯¯¯¯¯≅XW¯¯¯¯¯¯¯¯¯¯: This corresponds to the sides of the triangles. Since the triangles are congruent, their corresponding sides are equal, so this pair is correct.
3. ∠T≅∠W: This corresponds to the angles of the triangles. Since the triangles are congruent, their corresponding angles are equal, so this pair is correct.
4. ST¯¯¯¯¯¯¯≅WV¯¯¯¯¯¯¯¯¯: This does not correspond to any sides of the triangles. The corresponding sides are TR¯¯¯¯¯¯¯ and XW¯¯¯¯¯¯¯¯¯¯. Therefore, this pair is not correct.
In summary, the correct corresponding pairs are:
1. RS¯¯¯¯¯¯¯≅VX¯¯¯¯¯¯¯¯
2. TR¯¯¯¯¯¯¯≅XW¯¯¯¯¯¯¯¯¯¯
3. ∠T≅∠W