Question

your turn
solve for the missing variable, angle measure, or side length.

1. find the value of \\(x\\). you may assume triangle \\(abc\\) is similar to triangle \\(stu\\).

1. what must the missing length be for the two figures to be similar?

use the diagram, in which \\(\delta abe \sim \delta acd\\).

1. find the value of \\(x\\).

1. find the value of \\(y\\).

Explanation:

Set up similarity ratios for Question 1

Using the Similarity Statements and Corresponding Sides of Similar Figures knowledge points

$$
LATEXBLOCK0
$$

Determine scale factor for Question 2

Using the Corresponding Sides of Similar Figures knowledge point

$$
LATEXBLOCK1
$$

Solve for x in Question 3

Using the Similarity Statements, Corresponding Angles of Similar Figures, and Solving Linear Equations knowledge points

$$
LATEXBLOCK2
$$

Solve for y in Question 4

Using the Similarity Statements and Corresponding Sides of Similar Figures knowledge points

$$
LATEXBLOCK3
$$

Answer:

Question 1

\(x = \frac{64}{7}\) (or approximately \(9.14\))

Question 2

\(3\)

Question 3

\(x = 12\)

Question 4

\(y = 1.4\)