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A dilation is a transformation in which a fi gure is made larger or smaller with respect to a point called the center of dilation. EXAMPLE 1 Identifying a Dilation Tell whether the blue fi gure is a dilation of the red fi gure. b. The fi gures have the same size and shape. The red fi gure slides to form the blue fi gure. So, the blue fi ...
Look at your work in lesson 1 and 2 to help you answer the questions on this page. How does the image compare with the pre-image for different values of the scaling factor?
This product involves four pages of interactive notes on translations, dilations, rotations and reflections. Each note page provides an opportunity for students to complete the definition, examine and compare the angles and sides of the images, list the pre-image and image coordinates and to describe in words the transformation completed.
A dilation is a transformation in which a fi gure is enlarged or reduced with respect to a fi xed point C called the center of dilation and a scale factor k, which is the ratio of the lengths of the corresponding sides of the image and the preimage. A dilation with center of dilation C and scale factor k maps every point P in a
Example 1: 1. Since the scale factor is 4, will the dilation result in an enlargement or a reduction? Explain. 2. Why didn’t the coordinates for vertex A change after the dilation was applied? 3. Using a scale factor of 4, what does the point (x, y) become after the scale factor is applied? (x, y) à (_____, _____) Pg. 489
Geometry Worksheet Dilations. 1. Use the ruler to draw the image of the figure under a dilation with center M and the scale factor k indicated.
Target 1 – Use proportions to identify lengths of corresponding parts in similar figures. Target 2 – Perform and identify dilations. Target 3 – Use ratios of lengths, perimeter, & area to determine unknown corresponding parts.