How Do We Graph Dilations?

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

-The description of a dilation includes the scale factor.

*If the scale factor is > than 1, than the image will stretch.

*If the scale factor is > than 0 and < than 1, the image will shrink.

-To find the dimensions of the dilated image, multiply the dimensions of the original image by the scale factor.

PROBLEM: Draw the dilation image of pentagonABCDE with the center of dilation at the origin and a scale factor of 1/3. OBSERVE: Notice how EVERY coordinate of the original pentagon has been multiplied by the scale factor (1/3). HINT: Multiplying by 1/3 is the same as dividing by 3! -Congratulations! You now know how to graph dilations. You can now try solving the following problem: What are the coordinates of the point (2,-4) under the dilation D(-2)?