9-3 Rotations

# 9-3 Rotations - the measure of the acute or right angle...

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Rotations Section 9-3

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A rotation is a transformation suggested by a rotating paddle wheel. When the wheel moves, each paddle rotates to a new position
A rotation is a transformation that turns every point of a preimage through a specified angle and direction about a fixed point. The fixed point is called the center of rotation . A rotation is an isometry.

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A counterclockwise rotation is positive. A clockwise rotation is negative. 30 , 0 390 , 0 = 390 o 90 0 - 270 o
When rotating a figure by reflecting it in two intersecting lines, there is a relationship between the angle of rotation and the angle formed by the intersecting lines. Postulate 9.1 In a given rotation, if A is the preimage, A” is the image, and P is the center of rotation, then the measure of the angle of rotation of is twice

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Unformatted text preview: the measure of the acute or right angle formed by the intersecting lines of reflection. '' APA ∠ Corollary 9.1 • Reflecting an image successively in two perpendicular lines results in a rotation. 180 o Rotational Symmetry • If a figure can be rotated less than 360 degrees about a point so that the image and the preimage are indistinguishable, then the figure has rotational symmetry . • A rotation about point O through 180 o is called a half-turn and is denoted by H O . The hexagon has rotational symmetry of order 6 and a magnitude of 60 degrees. Joke Time • Why wouldn’t they let the butterfly into the dance? • Because it was a moth ball. • What happened when the chicken slept under the car? • She woke up oily next morning....
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