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Rotations
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Rotations. A rotation. 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. Properties of rotations.

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Rotations

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Rotations

Rotations


A rotation

A rotation

  • 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


Properties of rotations

Properties of rotations

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


Notation

Notation

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


Rules for rotations in a coordinate plane

Rules for rotations in a coordinate plane

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.


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