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Rotations

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Rotations

- turns all points of a figure around a point called the center of rotation
- the angle of rotation tells us the number of degrees through which points rotate around the center of rotation

A rotation is a transformation about a point P such that

- every point and its image are the same distance from P and
- all angles with vertex P formed by a point and its image have the same measure

- The notation RP, m (A) = A’ says that the image of point A after a rotation of m degrees about point P is A’.

rotation of 90°:(x,y) (-y,x)

rotation of 180°:(x,y) (-x,-y)

rotation of 270°:(x,y) (y,-x)

A positive angle of rotation turns the figure counterclockwise,

and a negative angle of rotation turns the figure in a clockwise direction.

Unless stated otherwise, rotations are counterclockwise.