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Isometries

Rotation

If the point $(3, 11)$ is rotated $90^\circ$ counterclockwise about the origin, what are the coordinates of the new point?

(-11,-3)

(3,-11)

(-3,-11)

(-11,3)

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If the point $(6, 3)$ is rotated $180^\circ$ counterclockwise about $(2,9),$ what are the coordinates of the new point?

(-2,15)

(15,-2)

(12,1)

(1,12)

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If the point $(2, 9)$ is rotated $90^\circ$ counterclockwise about $(1,1),$ what are the coordinates of the new point?

(2,-9)

(7,2)

(-7,2)

(2,-7)

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After counterclockwise rotation by $270^\circ$ about $(1, 2),$ the coordinates of the point changes to $(5, 4).$ What is the point before rotation?

(-1,6)

(4,-3)

(3,-2)

(-2,5)

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If the point $(8, 3)$ is rotated $270^\circ$ counterclockwise about the origin, what are the coordinates of the new point?

(-3,-8)

(3,-8)

(3,8)

(-8,-3)

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