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On a coordinate plane, 2 triangles are shown. The first triangle has points A (1, 4), B (3, 4), C (3, 2). The second triangle has points A prime (negative 4, 1), B prime (negative 4, 3), C prime (negative 2, 3).
Triangle ABC was rotated about the origin. Which rule describes the rotation?
R0, 90°
R0, 180°
R0, 270°
R0, 360°
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R0, 90°.
Rotation 90° counterclockwise about the origin maps (x,y) → (−y,x). Checking: (1,4) → (−4,1), (3,4) → (−4,3), (3,2) → (−2,3), which match A', B', C'.
Rotation 90° counterclockwise about the origin maps (x,y) → (−y,x). Checking: (1,4) → (−4,1), (3,4) → (−4,3), (3,2) → (−2,3), which match A', B', C'.
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