Chapter 9.7 Dilations Geometry Objective(s) Perform compositions that include dilations. Recall A. A Dilation is a transformation in which the original figure and its image are ___________ and related by a _______________ of k. Notes: 1. A dilation is a ____________ if 0 < k < 1. 2. A dilation is a ____________ if k > 1. Examples 1. Find the scale factor of each dilation. Then tell whether the dilation is a reduction or an enlargement. b. a. P' P 12 P' 18 12 C P 8 C 2. The vertices of ΔABC are A(4, 1), B(2, 2) and C(2, 1). Find the image of ΔABC after the given composition. Translation (x, y)>(x + 5, y + 1), then y Dilation centered at the origin with a scale factor of 2. x

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