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Dilations in the Coordinate Plane. Words To dilate a fi gure with respect to the origin, multiply the coordinates of each vertex by the scale factor k. Algebra (x, y) (kx, ky) When k > 1, the dilation is an enlargement. When k > 0 and k < 1, the dilation is a reduction.
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.
Vocab! Dilation: A ________________________________________ in which a figure is made __________________ . or _____________________ with respect to a ___________________ called the ___________________ of . ____________________________. Example: The ____________ polygon has Label it.
Algebraic Rule: 6. Graph the dilation of the object shown using a scale factor of 1/4. Algebraic Rule: Applications: 7. The package for a model airplane states the scale is 1:63.
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.
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.
