Dilations Dilations Dilations Dilations

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# Dilations Dilations Dilations Dilations - PowerPoint PPT Presentation

Dilations Dilations Dilations Dilations. A dilation. is a transformation that produces an image that is the same shape as the pre-image, but is a different size stretches or shrinks the original figure. Scale Factor.

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## Dilations Dilations Dilations Dilations

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1. DilationsDilationsDilationsDilations

2. A dilation • is a transformation that produces an image that is the same shape as the pre-image, but is a different size • stretches or shrinks the original figure

3. Scale Factor A dilation of scale factor k whose center of dilation is the origin may be written:  • Dk(x, y) = (kx, ky) If scale factor is greater than1, image is an enlargement. If scale factor is between 0 and 1, image is a reduction. It is possible, but not usual, that the scale factor is 1, thus creating congruent figures.

4. Dilations create.. similar figures, which we will discuss later in the unit!

5. pre-image points are (-3,-3), (1,-2), and (0,4) dilate the pre-image by a scale factor of 2 from the origin

6. Given the pre-image and image, determine the scale factor.