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9-5 Dilations

# 9-5 Dilations - If the dilation is called an expansion If...

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Dilations Section 9-5

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dilation – a transformation that may alter the size of the geometric figure, but does not change its shape. A dilation is a similarity transformation . A dilation does not preserve distance. A dilation requires a center point and a scale factor.
The dilation D O,k has center O and nonzero scale factor k . D O,k maps any point P to a point P’ determined as follows: 1. 2. 3. . , 0 OP k P O and OP on lies P k If = . . , 0 OP k P O and OP opp ray the on lies P k If = < . image own its is O center The

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Unformatted text preview: If , the dilation is called an expansion . If , the dilation is called a contraction . 1 k 1 < k Theorem 12-4 The dilation D O,k maps every line segment to a parallel segment that is times as long. k Joke Time What did the banana do when the monkey chased it? The banana split! What does Batman’s Mom call when she wants him to come in for dinner? DINNER dinner DINNER dinner Dinner dinner BATMAN!...
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