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.

Grade 10 Math GeometryTransformationsDilations

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Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSG.SRT.A.1CCSS.MATH.CONTENT.HSG.SRT.A.2

Topics

dilationsgeometrytransformationsscale factorcoordinate geometry

7 sections · Free to use · Printable

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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