Unit 6 Test

Given ΔABC ~ ΔJKL, what is the perimeter of ΔJKL?

• 34

• 42

• 54

• 36

ΔABC ~ ΔDEF. Which side lengths are proportional?

• AB/FD = BC/DE = AC/FE

• AB/DE = BC/EF = AC/DF

• DE/AC = FD/BC = FE/AB

• FE/AB = DE/BC = FD/AC

A flagpole casts a 36 foot shadow while a fence post that is 3 feet tall casts a 4 foot shadow. How tall is the flagpole?

• 17 feet

• 54 feet

• 27 feet

• 30 feet

In ΔXYZ, the measures of the angles have a ratio of 2:3:5. What are the measures of the angles?

• 20°, 30°, 50°

• 2°, 3°, 5°

• 36°, 54°, 90°

• 18°, 27°, 45°

What is the length of AT?

• 4

• 3.2

• 1.5

• 4.2

Find the value of x for the similar triangles below.

• 6 cm

• 4.5 cm

• 8 cm

• 5 cm

Find the value of x for the similar triangles below.

• 5.88 cm

• 6 cm

• 12 cm

• 9.2 cm

If a 6 ft man casts a 4 ft shadow, how tall is a man who casts a 2 foot shadow?

• 13

• 9

• 3

• 15

ΔABC∼ ΔADE. Solve for x.

• 5.57

• 4.5

• 6.46

• 7.4

A girl 160cm tall, stands 360 cm from a lamp post at night. Her shadow from the light is 90cm long. How high is the lamp post?

• 800 cm

• 640 cm

• 500 cm

• 720 cm