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DILATIONS

DILATIONS. I can determine the scale factor of a dilation . I can create a dilation given a scale factor and center on a graph. I can determine the scale factor of an incomplete dilation and complete the dilation. . Warm Up

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DILATIONS

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  1. DILATIONS I can determine the scale factor of a dilation. I can create a dilation given a scale factor and center on a graph. I can determine the scale factor of an incomplete dilation and complete the dilation.

  2. Warm Up 1. Translate the triangle with vertices A(2, –1), B(4, 3), and C(–5, 4) along the vector <2, 2>. A'(4,1), B'(6, 5),C(–3, 6) 2. ∆ABC ~ ∆JKL. Find the value of JK.

  3. Vocabulary center of dilation enlargement reduction

  4. Recall that a dilation is a transformation that changes the size of a figure but not the shape. The image and the preimage of a figure under a dilation are similar. NOT an isometry.

  5. Example 1: Identifying Dilations Tell whether each transformation appears to be a dilation. Explain. A. B. No; the figures are not similar. Yes; the figures are similar and the image is not turned or flipped.

  6. Check It Out! Example 1 Tell whether each transformation appears to be a dilation. Explain. a. b. Yes, the figures are similar and the image is not turned or flipped. No, the figures are not similar.

  7. Center of Dilation A’ A O 4 cm 8 cm B C Dilate ΔABC by 2 C’ B’ Scale Factor

  8. Scale Factor (k): The number that tells you how the figure will re enlarged or reduced. If k > 1, enlargement If k < 1, reduction If k = 1, stay the same size To find the dimensions of a dilation, multiply the original dimensions by the scale factor.

  9. You find a scale factor by finding a ratio of corresponding measurement. image “after” = S.F. = pre-image “before” Example: 30 14 B A >1 • Enlargement

  10. DILATIONS??? NO YES NO

  11. -6 4 4 2 -4 -4

  12. 9 3 9 -6 -6 -6 -6 3

  13. What is the Scale Factor?

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