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8.8 Day Two-Dilation

Vocabulary. DilationStretches or shrinks a figure. The new image is similar to the original.Congruent anglesProportionate sidesScale FactorHow much the new image changes.Multiply coordinates of the original figure by the scale factor (k).. Graph the polygon with the given vertices. Dilate by

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8.8 Day Two-Dilation

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    1. 8.8 Day Two-Dilation Goal: Draw dilations of shapes on coordinate plane

    2. Vocabulary Dilation Stretches or shrinks a figure. The new image is similar to the original. Congruent angles Proportionate sides Scale Factor How much the new image changes. Multiply coordinates of the original figure by the scale factor (k).

    3. Graph the polygon with the given vertices. Dilate by the scale factor, k, and graph the image. A(-1, 1), B(2, 1), C(4, 4), D(1, 4); k = 3

    4. L(0, 0), M(0, -6), N(-6, -9), Q(-3, -3); k = Graph the polygon with the given vertices. Dilate by the scale factor, k, and graph the image.

    5. J(-2, -2), K(2, 0), L(5, 0), M(8, -2), N(5, -4), Q(2, -4); k = 2 Graph the polygon with the given vertices. Dilate by the scale factor, k, and graph the image.

    6. E(10, 5), F(5, 0), G(5, -5), H(10, -5); k = Graph the polygon with the given vertices. Dilate by the scale factor, k, and graph the image.

    7. Real Life Example You are making a large gingerbread house that is similar in shape to a real house. The real house is 25 feet tall and 40 feet wide. The gingerbread house is 2.5 feet tall. How wide should you make the gingerbread house?

    8. Examples Brad had planned to put in a rectangular garden that was 12 feet by 8 feet. He decided that it was too big. He decided to reduce the dimensions of the garden by half. How do the areas of the original and revised gardens compare?

    9. Review and Assignment What does dilation mean? If you have a scale factor less than one, what happens to the original figure? Assignment Page 419 #15-22, 24, 25

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