# Practice With Proportional Relationships

ID: hurij-vovon
Illustrative Math
Subject: Geometry

10 questions

# Practice With Proportional Relationships

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##### Problem 1

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

a) ﻿$\frac{A'B'}{AB} = \frac{A'C'}{AC}$﻿ b) ﻿$\frac{AD}{A'D'} = \frac{BC}{B'C'}$﻿ c) ﻿$\frac{BD}{B'D'} = \frac{C'D'}{CD}$﻿ d) ﻿$\frac{AB}{CD} = \frac{A'B'}{C'D'}$﻿ e) ﻿$\frac{BC}{A'D'} = \frac{B'C'}{AD}$﻿

##### Problem 2

2) Line ﻿$BC$﻿ and ﻿$DE$﻿ are both vertical. What is the length of ﻿$AD$﻿?

##### Problem 3

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

3) What is the length of ﻿$BD$﻿?

4) What is the area of triangle ﻿$AEH$﻿?

##### Problem 4

5) Segment ﻿$A'B'$﻿ is parallel to segment ﻿$AB$﻿. What is the length of segment ﻿$BB'$﻿?

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

Elena thinks length ﻿$BC$﻿ is 16.5 units. Lin thinks the length of ﻿$BC$﻿ is 17.1 units.

6) Do you agree with either of them?

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

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 ﻿$g$﻿ is dilated with a center of dilation at ﻿$A$﻿. The image is line ﻿$f$﻿. Approximate the scale factor.