Grade 7 Math: Dilations

This worksheet focuses on understanding and performing dilations of geometric figures on a coordinate plane, including identifying scale factors and centers of dilation.

Grade 7 Math GeometryTransformationsDilations

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Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.8.G.A.3CCSS.MATH.CONTENT.8.G.A.4

Topics

MathGeometryTransformationsDilationsGrade 7

7 sections · Free to use · Printable

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Grade 7 Math: Dilations

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Read each question carefully and follow the instructions. Show all your work where applicable.

1. Which of the following transformations changes the size of a figure but not its shape?

Translation

Rotation

Dilation

Reflection

2. A square has vertices at A(1,1), B(3,1), C(3,3), and D(1,3). If it is dilated by a scale factor of 2 with the center of dilation at the origin (0,0), what are the new coordinates of vertex A'?

(1,2)

(2,1)

(2,2)

(4,4)

3. A dilation creates a figure that is to the original figure but a different .

4. If the scale factor of a dilation is less than 1, the image will be than the original figure.

5. The point from which a dilation occurs is called the of dilation.

6. Triangle PQR has vertices P(2,4), Q(6,2), and R(4,6). Dilate triangle PQR by a scale factor of 0.5 with the center of dilation at the origin (0,0). List the coordinates of the new vertices P', Q', and R'.

7. A dilation with a scale factor of -1 results in a figure that is the same size as the original but rotated 180 degrees.

True

False

8. Plot the rectangle with vertices A(1,1), B(4,1), C(4,3), D(1,3) on the coordinate plane below. Then, dilate the rectangle by a scale factor of 3 with the center of dilation at the origin. Plot the dilated image A'B'C'D' on the same coordinate plane.