Dilations Worksheet
Explore dilations on a coordinate plane with this Grade 6 math worksheet, including identifying scale factors and plotting dilated figures.
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Dilations on the Coordinate Plane
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Read each question carefully and follow the instructions to dilate figures on the coordinate plane.
1. What is a dilation in geometry?
2. When a figure is dilated, what changes and what stays the same?
3. If a figure is enlarged, the scale factor is than 1.
4. If a figure is reduced, the scale factor is than 1.
5. A scale factor of 1 means the figure .
6. A triangle has vertices at A(2, 4), B(4, 6), and C(6, 2). If it is dilated by a scale factor of 0.5 centered at the origin, what are the new coordinates of vertex A'?
(1, 2)
(4, 8)
(1, 4)
(2, 1)
7. Plot the rectangle with vertices D(1,1), E(3,1), F(3,2), G(1,2). Then, dilate the rectangle by a scale factor of 2 centered at the origin. Plot the dilated rectangle D'E'F'G' on the same coordinate plane.
8. A dilation always changes the orientation of a figure.
True
False
9. The center of dilation is always the origin (0,0).
True
False
10. A photograph is 4 inches wide and 6 inches long. If you want to enlarge it by a scale factor of 1.5, what will be the new dimensions of the photograph?