Similarity and Transformations

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Presentation transcript:

Similarity and Transformations 8.2

Dilations K-value

Example 1: Drawing and Describing Dilations Apply the dilation D to the polygon with the given vertices. Describe the dilation. D: (x, y) → (3x, 3y) A(1, 1), B(3, 1), C(3, 2) dilation with center (0, 0) and scale factor 3

Example 1: Continued B. Apply the dilation D to the polygon with the given vertices. Describe the dilation. D: (x, y) → P(–8, 4), Q(–4, 8), R(4, 4) 4 3 x, y dilation with center (0, 0) and scale factor 3 4

Example 3: Proving Circles Similar Circle A with center (0, 0) and radius 1 is similar to circle B with center (0, 6) and radius 3.

Example 3: Continued B. Circle C with center (0, –3) and radius 2 is similar to circle D with center (5, 1) and radius 5.

Assignment Homework: Pg. 256-257 (3-6, 11-12) Quiz Thursday over 8.1-8.2