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

Responses

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

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

ST¯¯¯¯¯¯¯≅WV¯¯¯¯¯¯¯¯¯
Modifying above upper S upper T with bar congruent to Modifying above upper W upper V with bar

TR¯¯¯¯¯¯¯≅XW¯¯¯¯¯¯¯¯¯¯

1 answer

Given that △TRS ≅ △VXW, the congruent pairs of sides and angles can be determined based on the corresponding vertices.

From the information given:

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

This gives us the following corresponding congruent elements:

  1. TR ≅ VX (sides)
  2. RS ≅ XW (sides)
  3. ST ≅ WV (sides)
  4. ∠T ≅ ∠V (angles)
  5. ∠R ≅ ∠X (angles)
  6. ∠S ≅ ∠W (angles)

Now evaluating the options you provided:

  1. RS ≅ VX → Incorrect
  2. ∠T ≅ ∠W → Incorrect (should be ∠T ≅ ∠V)
  3. ST ≅ WV → Correct
  4. TR ≅ XW → Incorrect (should be TR ≅ VX)

Out of the options presented, the correct corresponding pair is:

  • ST¯¯¯¯¯¯¯≅WV¯¯¯¯¯¯¯¯¯ (Option 3)