Congruency of Triangles Quick Check

Question

4 of 54 of 5 Items

Question
Given △TRS≅△VXW , which of the following corresponding pairs is correct?(1 point)
Responses

∠T≅∠W
angle upper T congruent to angle upper W

TR¯¯¯¯¯¯¯≅XW¯¯¯¯¯¯¯¯¯¯
Modifying above upper T upper R with bar congruent to Modifying above upper V upper W with bar

RS¯¯¯¯¯¯¯≅VX¯¯¯¯¯¯¯¯
Modifying above upper R upper S with bar congruent to Modifying above upper V upper X with bar

ST¯¯¯¯¯¯¯≅WV¯¯¯¯¯¯¯¯¯

Answer 1

Given that triangles \( \triangle TRS \cong \triangle VXW \), the corresponding parts of congruent triangles are also congruent. This means that corresponding angles and sides can be matched between the two triangles.

The correct corresponding pairs based on the convention of corresponding parts are:

• \( \angle T \cong \angle V \)
• \( \angle R \cong \angle X \)
• \( \angle S \cong \angle W \)
• \( TR \cong VX \)
• \( RS \cong XW \)
• \( ST \cong WV \)

The options you provided are:

1. \( \angle T \cong \angle W \) (Incorrect)
2. \( TR \cong XW \) (Incorrect)
3. \( RS \cong VX \) (Incorrect)
4. \( ST \cong WV \) (Correct)

From the options, none of the angles are matched correctly.

For your question, the correct conclusion is that none of the supplied matching options are accurate based on the provided triangle congruence. However, if you were to select the only options presented incorrectly, that would be the best guess against the choices.

Please verify the provided pairs in the original context of your triangles for further accuracy!

Answer 2

please choose one one the given answers

Answer 3

Given the options provided and recognizing the congruency of triangles \( \triangle TRS \cong \triangle VXW \), the correct corresponding pair is:

RS ≅ VX

This is option 3 from your list. Thus, you should select:

RS≅VX

This indicates that side \( RS \) in triangle \( TRS \) is congruent to side \( VX \) in triangle \( VXW \).