Grade 10 Math: Dilations Worksheet
This worksheet focuses on understanding and applying dilations in geometry, including finding scale factors, centers of dilation, and dilated coordinates.
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Grade 10 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 maps triangle ABC to triangle A'B'C'. If the scale factor is 2, and AB = 5 units, what is the length of A'B'?
2.5 units
5 units
10 units
20 units
2. Which of the following is NOT preserved under a dilation?
Angle measure
Betweenness of points
Distance
Orientation
3. A dilation is a transformation that produces an image that is the same shape as the original, but is a different .
4. The ratio of the lengths of corresponding sides of the image to the preimage is called the .
5. Explain the difference between an enlargement and a reduction in terms of the scale factor.
6. Triangle XYZ has vertices X(1,2), Y(3,1), and Z(2,4). Dilate triangle XYZ by a scale factor of 3 with the center of dilation at the origin. Find the coordinates of the vertices of the image X'Y'Z'.
X' = ( , )
Y' = ( , )
Z' = ( , )
7. A point A(4, -2) is dilated to A'(10, -5). What is the scale factor of the dilation if the center of dilation is the origin?
8. If the scale factor of a dilation is negative, the image will be on the opposite side of the center of dilation.
True
False
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