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Unit 6 Test

Total questions: 16

Worksheet time: 48mins

Name
Class
Date
1.

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

a)

34

b)

42

c)

54

d)

36

2.

ΔABC ~ ΔDEF. Which side lengths are proportional?

a)

AB/FD = BC/DE = AC/FE

b)

AB/DE = BC/EF = AC/DF

c)

DE/AC = FD/BC = FE/AB

d)

FE/AB = DE/BC = FD/AC

3.

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?

a)

17 feet

b)

54 feet

c)

27 feet

d)

30 feet

4.

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

a)

20°, 30°, 50°

b)

2°, 3°, 5°

c)

36°, 54°, 90°

d)

18°, 27°, 45°

5.

What is the length of AT?

a)

4

b)

3.2

c)

1.5

d)

4.2

6.

Find the value of x for the similar triangles below.

a)

6 cm

b)

4.5 cm

c)

8 cm

d)

5 cm

7.

Find the value of x for the similar triangles below.

a)

5.88 cm

b)

6 cm

c)

12 cm

d)

9.2 cm

8.

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

a)

13

b)

9

c)

3

d)

15

9.

ΔABC∼ ΔADE. Solve for x.

a)

5.57

b)

4.5

c)

6.46

d)

7.4

10.

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?

a)

800 cm

b)

640 cm

c)

500 cm

d)

720 cm

11.

In ΔFGH, JK is parallel to GH. What is the length of FH?

a)

8

b)

18

c)

24

d)

20

12.

Solve:

a)

-4

b)

10

c)

3

d)

-4

13.
Solve the proportion.
a)
n=6
b)
n=24
c)
n=7
d)
n=8
14.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional 
b)
proportional, congruent 
c)
congruent, congruent
d)
proportional, proportional
15.

The ratio of the measures of two supplementary angles is 3:7. Find the measure of the larger angle.

a)

54º

b)

93º

c)

126º

d)

180º

16.

The measures of two complementary angles are in the ratio 2:8. What is the measure of the smaller angle?

a)

72

b)

18

c)

54

d)

90