1. Using Similar Figures ABC is similar to DEF. Find the value of c. =
COURSE 2 LESSON 5-6
ABC is similar to DEF. Find the value of c. = c 18 6 9
Write a proportion.
Write the cross products.
9c = 18 • 6
Divide each side by 9. 9c 9
108 =
Solve for c.
c = 12
5-6

2. COURSE 2 LESSON 5-6
Using Similar Figures
A 5-ft person standing near a tree has a shadow 12 ft long. At the same time, the tree has a shadow 42 ft long. What is the height of the tree?
Draw a diagram like the one at the right. Let x represent the height of the tree. = x 5 42 12
Write a proportion.
Write the cross products.
12x = 5 • 42
Divide each side by 12.
12x 12
5 • 42 =
Simplify.
x = 17 1 2
The height of the tree is ft. 1 2
5-6

3. Using Similar Figures In the figure below, JKL ~ XYZ.
COURSE 2 LESSON 5-6
In the figure below, JKL ~ XYZ.
1. Which angle besides K has measure 29°?
2. Find YZ.
3. A 4-ft-tall person standing near a telephone pole has a shadow 3 ft long. At the same time, the telephone pole has a shadow 18 ft long. What is the height of the telephone pole? Y 9
24 ft
5-6