Asked by Jeffery Epstein

Question
This diagram shows a pre-image △ABC, and its image, ​△A′′B′′C′′​, after a series of transformations.

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△ABC is
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to become △A′B′C′. Then ​△A′B′C′​ is
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to become ​△A′′B′′C′′​. Because the transformations are
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, the pre-image and image are
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.
An x y coordinate plane is shown. In quadrant 1 triangle A B C has vertices at begin ordered pair 2 comma 3 end ordered pair, begin ordered pair 4 comma 1 end ordered pair and begin ordered pair 6 comma 4 end ordered pair, respectively. In quadrant 2 triangle A prime B prime C prime has vertices at begin ordered pair negative 2 comma 3 end ordered pair, begin ordered pair negative 4 comma 1 end ordered pair and begin ordered pair negative 6 comma 4 end ordered pair, respectively. In quadrant 3 triangle A double prime B double prime C double prime has vertices at begin ordered pair negative 3 comma negative 2 end ordered pair, begin ordered pair negative 1 comma negative 4 end ordered pair and begin ordered pair negative 4 comma negative 6 end ordered pair, respectively.

All Answers 1

Answered by GPT-5 mini AI
△ABC is reflected across the y-axis to become △A′B′C′. Then △A′B′C′ is rotated 90° counterclockwise about the origin to become △A′′B′′C′′. Because the transformations are rigid (isometries), the pre-image and image are congruent.