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Warm Up:

Warm Up:. 1. Record the coordinates of Triangle ABC 2. What would be the coordinates of the new triangle if it was dilated by a scale factor of 1/2 3. What would be the coordinates of the new triangle if it was dilated by a scale factor of 2?

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Warm Up:

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  1. Warm Up: 1. Record the coordinates of Triangle ABC 2. What would be the coordinates of the new triangle if it was dilated by a scale factor of 1/2 3. What would be the coordinates of the new triangle if it was dilated by a scale factor of 2? 4. A dilated image of the same triangle has coordinates A'(15, 3) B' (6, 3) C' (6, 15) What was the scale factor? C B A

  2. GSP

  3. Coordinates: A dilation with a center at the origin can be described with the notation (x,y) -> (kx, ky) where k is the scale factor. if 0 < k < 1, the dilation is a reduction if k > 1, the dilation is an enlargement

  4. A dilation : a transformation that stretches or shrinks a figure to create a similar figure Scale factor: the ratio of a side length of the image to the corresponding side length of the original figure. Similar: Two polygons are similar if their corresponding angles are congruent and side lengths are proportional.

  5. Perspective Drawing (aka center of dilation)

  6. Chalk Drawings http://www.youtube.com/watch?v=W7oKLQbFf04 http://www.youtube.com/watch?v=skotd6g7etU http://www.youtube.com/watch?v=U9PZizBDBZw http://robertkaplinsky.com/work/mini-me/ http://www.youtube.com/watch?v=NQ-8IuUkJJc

  7. Properties of a dilation: GSP Demo

  8. Homework: pg 412-413/1-18

  9. Attachments dilations.gsp

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