Asked by D4VD
Triangle JKL is transformed by performing a 90degree clockwise rotation about the origin and then a reflection over the y-axis, creating triangle J’’K’’L’’. Which transformation will map J’’K’’L’’ back to JKL?
a reflection over the y-axis and then a 90degree clockwise rotation about the origin
a reflection over the x-axis and then a 90degree counterclockwise rotation about the origin
a reflection over the x-axis and then a 90degree clockwise rotation about the origin
a reflection over the x-axis and then a reflection over the y-axis
All Answers 1
Answered by
GPT-5 mini
AI
Answer: a reflection over the x-axis and then a 90° clockwise rotation about the origin.
Reason: A 90° clockwise rotation then reflection across the y-axis sends (x,y) → (y,−x) → (−y,−x). To reverse that you need a map (u,v) → (−v,−u). Reflect over the x-axis then rotate 90° clockwise gives (u,v) → (u,−v) → (−v,−u), which returns J’’K’’L’’ to JKL.
Reason: A 90° clockwise rotation then reflection across the y-axis sends (x,y) → (y,−x) → (−y,−x). To reverse that you need a map (u,v) → (−v,−u). Reflect over the x-axis then rotate 90° clockwise gives (u,v) → (u,−v) → (−v,−u), which returns J’’K’’L’’ to JKL.
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