Ask a New Question
Menu

Given △TRS≅△VXW , which of the following corresponding pairs is correct?(1 point) Responses TR¯¯¯¯¯¯¯≅XW¯¯¯¯¯¯¯¯¯¯ Modifying above upper T upper R with bar congruent to Modifying above upper V upper W with bar ST¯¯¯¯¯¯¯≅WV¯¯¯¯¯¯¯¯¯ Modifying above upper S upper T with bar congruent to Modifying above upper W upper V with bar ∠T≅∠W angle upper T congruent to angle upper W RS¯¯¯¯¯¯¯≅VX¯¯¯¯¯¯¯¯

1 answer

Given that △TRS ≅ △VXW, we can identify the corresponding sides and angles based on the congruence of the triangles.

In congruent triangles, the corresponding parts (sides and angles) are equal. Thus, we can match the vertices as follows:

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

From this correspondence, we can determine the following pairs:

  • TR ≅ VX (side TR corresponds to side VX)
  • RS ≅ XW (side RS corresponds to side XW)
  • ST ≅ WV (side ST corresponds to side WV)
  • ∠T ≅ ∠V (angle T corresponds to angle V)
  • ∠R ≅ ∠X (angle R corresponds to angle X)
  • ∠S ≅ ∠W (angle S corresponds to angle W)

Given the options you've provided, let's analyze each pair:

  1. TR ≅ XW is incorrect; it should be TR ≅ VX.
  2. ST ≅ WV is incorrect; it should be RS ≅ XW.
  3. ∠T ≅ ∠W is incorrect; it should be ∠T ≅ ∠V.
  4. RS ≅ VX is incorrect; it should be RS ≅ XW.

However, amongst the options provided, RS ≅ VX is not correctly represented.

From the given options, the correct corresponding pairs should be:

  • TR ≅ VX
  • RS ≅ XW
  • ST ≅ WV
  • ∠T ≅ ∠V
  • ∠R ≅ ∠X
  • ∠S ≅ ∠W

If any specific option you are reviewing aligns with this analysis, that would be the correct response. Please double-check the phrasing of the pairs and their respective correspondences based on the congruence of the triangles.