9-6 Dilations 9-7 Similarity Transformations

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Presentation transcript:

9-6 Dilations 9-7 Similarity Transformations Geometry C Mrs. Taormina

Dilation: Enlargement or reduction Dilation: Enlargement or reduction. Dilations have a center and a scale factor. EX.: Scale factor = 2 10 5

Dilations Orientation? Rigid Motion? Stays the same No, the figures are not congruent.

Scale factor greater than 1 = enlargement Scale factor less than 1 = reduction Scale factor = 1 is a congruence transformation. (Remember CPCTC?)

Coordinate Example Dilations in the coordinate plane (centered at origin): 1. Multiply each coordinate by the scale factor. 2. Each product is the coordinate of the image. Ex.: Preimage (4, 1) with a scale factor = 5 4 x 5 = 20 1 x 5 = 5 Image = (20, 5).

Let’s Try Some… Find the coordinates of the image under each dilation: A = (2, 10) B = (-4, 1) C = (-15, -9) E = (9, -1) A’ = B’ = C’ = E’ = (1, 5) (-10, -6) (18,-2) (-12,3)