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Q’. x . P’. x . Q. O. P. Lesson 14-4 Rotations. A rotation about point O through x ° is a transformation such that: If a point P is different from O , then OP’ = OP and m POP’ = x . (2) If point P is the point O , then P’ = P.

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## A rotation about point O through x ° is a transformation such that:

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**Q’**x P’ x Q O P Lesson 14-4 Rotations • A rotationabout point O through x° is a transformation such that: • If a point P is different from O, then OP’ =OP and mPOP’ = x. • (2) If point P is the point O, then P’ = P.**O read “a rotation about point O. ”**O, 60 read “a rotation about point O through 60°.” or “a rotation 60° counterclockwise about point O.” O, 90 read “a rotation about point O through 90°.” O, -90 read “a rotation 90° clockwise about point O.”**half-turn- a rotation through 180°.**HO read “ a half turn about point O. ” HO :(x, y) (-x, -y)read “a half turn (where O is the origin) about the origin maps (x, y) (-x, -y).”**O**Ex.1) Draw the image by the specified rotation. a. O, -90 b.HO O**HW #31**pages 590-591 1-30 all, 34

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