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Properties of Rotations
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Warm Up
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Like the other rigid transformations, rotation preserves congruence and, like reflections, can change orientation. They rotate figures 90°, 180°, and 270°, clockwise and counterclockwise. Rotations preserve size and shape, but change orientation.
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A transformation is a function that describes a change in the position, size, or shape of a figure, and a rotation is a type of transformation. The measures of the figure’s sides and angles do not ever change in a rotation. In most rotations, the figure’s position and orientation change.
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A rotation is a mathematical model of the motion of turning
A rotation is a mathematical model of the motion of turning. It is a transformation. To rotate a figure you must be given or know three things: the center of rotation, the magnitude (number of degrees), and direction (clockwise or counterclockwise) of the rotation.
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