# Practice With Proportional Relationships

10 questions

# Practice With Proportional Relationships

##### 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 $BB'$?

##### 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?

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?

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.