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Unit 6: Similar Triangles Review

Total questions: 45

Worksheet time: 11hrs 15mins

Name
Class
Date
1.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

2.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SAS

b)

AA

c)

SSS

d)

not similar

3.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

no similar

4.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

5.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

6.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

not similar

7.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar. Select all that applies.

a)

AA

b)

SAS

c)

SSS

d)

not similar

8.
a)

1:3

b)

3

c)

2:3

d)

3:2

9.
a)

7

b)

12

c)

6

d)

4

10.

Find the value of X.

a)

4

b)

6

c)

12

d)

7

11.
Use the information in the diagram to determine the height of the tree.
a)
80 feet
b)
320 feet
c)
40 feet
d)
160 feet
12.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

13.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
14.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
15.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
16.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
17.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
18.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
19.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
20.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
21.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
22.
A telephone booth that is 8 ft tall casts a shadow that is 4 ft long.  Find the height of a lawn ornament that casts a 2 ft shadow.
a)
4 ft
b)
2 ft
c)
8 ft
d)
6ft
23.
If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts?
a)
41.7 ft
b)
36.6 ft
c)
34.6 ft
d)
38.8 ft
24.
A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long.  How tall is the building?
a)
9 m
b)
15.2 m
c)
12 m
d)
17.5 m
25.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
26.
Find side length X.
a)
30
b)
25
c)
15
d)
40
27.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
28.
Simplify the fraction: 12/27
a)
9/4
b)
27/12
c)
4/9
d)
1/2
29.
Use the table to express the ratio in simplest form: Oak To Ash
a)
10/18
b)
10/12
c)
5/6
d)
5/9
30.
Use the table to express the ratio in simplest form: All Trees to Ashes and Oak 
a)
40/28
b)
28/40
c)
10/7
d)
7/10
31.
What is it called when you set two ratios equal to each other?
a)
Proportion
b)
Fraction
c)
Ratio
d)
Congruent
32.
Solve the proportion.
a)
18
b)
3
c)
2
d)
9
33.
Solve the proportion.
a)
60
b)
15
c)
3
d)
12
34.
Solve the proportion.
a)
84
b)
21
c)
11
d)
5
35.
Solve the proportion.
a)
20
b)
7
c)
22
d)
11
36.
Solve the proportion.
a)
17.5
b)
15
c)
8
d)
14
37.
Solve the proportion.
a)
18
b)
4
c)
9
d)
8
38.
Solve the proportion.
a)
-5
b)
2
c)
7
d)
6
39.
Solve the proportion.
a)
10
b)
-2
c)
4
d)
-7
40.
If the scale factor is 4, what is the measurement of x?
a)
20 m
b)
24 m
c)
16 m
d)
4 m
41.
What is the scale factor from triangle ABC to triangle DEF?
a)
1/2
b)
7/3
c)
2/1
d)
10/3
42.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
43.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
44.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
45.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary

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