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9.5 Dilations

9.5 Dilations. Dilations. A dilation is a transformation that may change the size of a figure. Dilations are similarity transformations (r is the scale factor) If |r| > 1, enlargement If 0 < |r| < 1, reduction If |r| = 1, congruence transformation. Dilations.

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9.5 Dilations

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  1. 9.5 Dilations

  2. Dilations • A dilation is a transformation that may change the size of a figure. • Dilations are similarity transformations • (r is the scale factor) • If |r| > 1, enlargement • If 0 < |r| < 1, reduction • If |r| = 1, congruence transformation

  3. Dilations • To perform a dilation, multiply the measure of the preimage by the scale factor. • To find a scale factor, divide the measure of the image (new) by the preimage (old). • If the scale factor is a negative, it just flips the figure across the fixed point of dilation

  4. Find the measure of the image or preimage using the given scale factor.(do NOT multiply or divide by the negative!) • CD = 15, r = 3 • C’D’ = 7, r = ¼ • C’D’ = 8, r = ¾ • CD = 16, r = ½ C’D’ = 45 CD = 28 CD = 32/3 C’D’ = 8

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