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Published byWinfred Blankenship Modified over 9 years ago
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Take two minutes to list words that come to mind when you hear the word dilation. Enlarging or reducing a figure is called dilation.
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A dilated figure is similar to its original figure. What two things must be true for figures to be similar. 1. 2.
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The ratio of a length of the new figure to a length of the original figure is called the scale factor. The original figure is called the pre-image and the new figure is called the image.
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Dilation with a positive scale factor less than one creates a(n) ___________. (0< S.F. < 1) Dilation with a scale factor greater than one creates a(n) ______________. (S.F. > 1)
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Decide if each scale factor would create an enlargement or a reduction. A. 6B. 0.5 C. 3/2 D. 3/4
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Graph trapezoid ABCD with vertices A(2,2), B(8,4), C(8,10), and D(2,10). Please make sure you use graph paper. These coordinates should also be represented in an x-y table on your paper.
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Dilate trapezoid ABCD by a scale factor of 0.5. Find the vertices of the dilation, by multipling each coordinate of the ordered pairs by the scale factor. Record your new coordinates in a table with columns titled x' and y'. Graph the dilation. Is it an enlargement or a reduction? Explain.
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Find the area of both the original trapezoid and the dilated trapezoid. Does this follow our previous pattern as discovered when working on area in the "Growing Designs" activity? Explain.
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Graph quadrilateral ABCD with vertices A (-2,2), B (2,0), C (2,-2), and D (-2,-2). Dilate this figure by a scale factor of 4. What are the new vertices? Graph the dilation. Find the area of both the original and it's image. Write a comparison statement about the two.
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