Practice With Proportional Relationships

ID: hurij-vovon
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Created by Illustrative MathIllustrative Math
Subject: Geometry
Grade: 9-12
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10 questions

Practice With Proportional Relationships

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Problem 1

1) Quadrilateral ABCDABCD is similar to quadrilateral ABCDA'B'C'D'. Select all statements that must be true. Write each corresponding letter in the answer box and separate letters with commas.


a) ABAB=ACAC\frac{A'B'}{AB} = \frac{A'C'}{AC} b) ADAD=BCBC\frac{AD}{A'D'} = \frac{BC}{B'C'} c) BDBD=CDCD\frac{BD}{B'D'} = \frac{C'D'}{CD} d) ABCD=ABCD\frac{AB}{CD} = \frac{A'B'}{C'D'} e) BCAD=BCAD\frac{BC}{A'D'} = \frac{B'C'}{AD}

Problem 2

2) Line BCBC and DEDE are both vertical. What is the length of ADAD?

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Problem 3

The quilt is made of squares with diagonals. Side length ABAB is 2.

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3) What is the length of BDBD?

4) What is the area of triangle AEHAEH?

Problem 4

5) Segment ABA'B' is parallel to segment ABAB. What is the length of segment BBBB'?

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a) 3.5\text{3.5}b) 4\text{4}c) 10\text{10}d) 10.5\text{10.5}
Problem 5

Elena thinks length BCBC is 16.5 units. Lin thinks the length of BCBC is 17.1 units.

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6) Do you agree with either of them?

a) I agree with Elena.\text{I agree with Elena.}b) I agree with Lin.\text{I agree with Lin.}c) I agree with both of them.\text{I agree with both of them.}d) I agree with neither of them.\text{I agree with neither of them.}

7) Explain or show your reasoning.

Problem 6

Mai thinks knowing the measures of 2 sides is enough to show triangle similarity.

8) Do you agree?

True or false? Write below.

9) Explain or show your reasoning.

Problem 7

10) Line gg is dilated with a center of dilation at AA. The image is line ff. Approximate the scale factor.

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