Grade 9 Math: Dilations
This worksheet focuses on understanding and applying dilations in coordinate geometry for Grade 9 students.
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Grade 9 Math: Dilations
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. A dilation is a transformation that produces an image that is the same as the original, but is a different .
size, shape
shape, size
orientation, position
position, orientation
2. If the scale factor of a dilation is greater than 1, the image will be:
smaller
larger
the same size
rotated
3. A dilation with a scale factor between 0 and 1 results in a(n) of the original figure.
4. The point about which a figure is dilated is called the .
5. Triangle ABC has vertices A(1,2), B(3,1), and C(2,4). Dilate triangle ABC by a scale factor of 2 with the center of dilation at the origin. What are the coordinates of the new vertices A', B', and C'?
6. Describe the effect of a dilation with a scale factor of -1.
7. Graph the rectangle with vertices D(2,2), E(4,2), F(4,5), G(2,5). Then, dilate the rectangle by a scale factor of 0.5 with the center of dilation at the origin. Graph the dilated image D'E'F'G' on the same coordinate plane.