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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Presentation transcript:

Take two minutes to list words that come to mind when you hear the word dilation. Enlarging or reducing a figure is called dilation.

A dilated figure is similar to its original figure. What two things must be true for figures to be similar

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.

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)

Decide if each scale factor would create an enlargement or a reduction. A. 6B. 0.5 C. 3/2 D. 3/4

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.

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.

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.

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.