Measuring Dilations

ID: tozog-zifab
Created by Illustrative MathIllustrative Math
Subject: Geometry
Grade: 9-12

Measuring Dilations

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Problem 1

1) Pentagon ABCDEA'B'C'D'E' is the image of pentagon ABCDEABCDE after a dilation centered at FF. What is the scale factor of this dilation?

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Problem 2

2) A polygon has perimeter 12 units. It is dilated with a scale factor of 34\frac{3}{4}. What is the perimeter of its image?

a) 9 units\text{9 units}b) 12 units\text{12 units}c) 16 units\text{16 units}d) It cannot be determined.\text{It cannot be determined.}
Problem 3

3) Triangle ABCABC is taken to triangle ABCA'B'C' by a dilation. Which of these scale factors for the dilation would result in an image that was larger than the original figure?

a) 35 \frac{3}{5} b) 1317 \frac{13}{17} c) 1\text{1}d) 43 \frac{4}{3}
Problem 4

4) Dilate quadrilateral ABCDABCD using center DD and scale factor 2.

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Problem 5

5) Dilate Figure GG using center BB and scale factor 3.

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Problem 6

6) Polygon QQ is a scaled copy of Polygon PP. The value of xx is 6. What is the scale factor?

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a) 34 \frac{3}{4} b) 43 \frac{4}{3} c) 3\text{3}d) 4\text{4}
Problem 7

7) Prove that segment ADAD is congruent to segment BCBC.

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