Grade 8 Dilations Worksheet
This worksheet focuses on understanding and applying dilations in geometry, including identifying scale factors and coordinates of dilated figures.
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Grade 8 Dilations Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which of the following transformations changes the size of a figure but not its shape?
Rotation
Reflection
Dilation
Translation
2. If a figure is dilated by a scale factor of 3, how does the new figure compare to the original?
It is 3 times smaller.
It is 3 times larger.
It is the same size.
It is rotated by 3 degrees.
3. A dilation produces a similar figure, meaning the angles are and the side lengths are proportional.
4. If the scale factor of a dilation is between 0 and 1, the new figure will be a .
5. Triangle ABC has vertices A(1,2), B(3,1), and C(2,4). If the triangle is dilated by a scale factor of 2 centered at the origin, what are the coordinates of the new vertices A'B'C'?
A' =
B' =
C' =
6. Describe the effect of a dilation with a scale factor of 1.
7. A dilation always moves the figure further away from the origin.
True
False
8. When a figure is dilated, its orientation changes.
True
False
9. Plot the triangle with vertices D(0,0), E(2,0), F(1,3). Then, dilate the triangle by a scale factor of 2 centered at the origin. Plot the new triangle D'E'F' on the same graph.