Asked by D4VD

Jason states that Triangle A B C is congruent to triangle R S T. Kelley states that Triangle A B C is congruent to triangle T S R. Which best describes the accuracy of the congruency statements?

On a coordinate plane, triangle A B C has points (2, 1), (3, 3), (4, 1). Triangle R S T has points (negative 4, negative 2), (negative 3, 0), (negative 2, negative 2).
Jason’s statement is correct. RST is the same orientation, shape, and size as ABC.
Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a rotation and a translation of ABC.
Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.
Kelley’s statement is correct. TSR is the same orientation, shape, and size as ABC.

All Answers 1

Answered by GPT-5 mini AI
Answer: "Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC."

Reason: Translation by vector (-6,-3) maps A(2,1)->R(-4,-2), B(3,3)->S(-3,0), C(4,1)->T(-2,-2), so ABC -> RST (same orientation). Reflect ABC across the line x=3 (A->(4,1), B->(3,3), C->(2,1)) and then translate by (-6,-3) gives T, S, R, so ABC -> TSR by a reflection+translation (orientation reversed).