Practice Test
Name___________________________________ ID: 1
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Triangle Proportions
Date________________ Period____
Find the missing length. The triangles in each pair are similar.
1)
2)
M
G
30
20
78
F
K
65
V
28
H
?
L
?
R
U
S
50
T
State if the triangles in each pair are similar. If so, state how you know they are similar and
complete the similarity statement.
3)
4)
91
T
70
F
V
98
W
U
G
U
C
10
B
V
13
14
UVW ~ ______
A
TUV ~ ______
Worksheet by Kuta Software LLC
-1-
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5)
6)
T
U
16
90
24
V
Q
169
C
A
24
36
40
52
B
U
R 82
S
ABC ~ ______
118
UTS ~ ______
Solve for x.
7)
8)
x + 12
8
6
15
14
4
3
2x - 10
The polygons in each pair are similar. Find the missing side length.
9)
10)
24
?
8
B
A
?
A
B
scale factor from A to B = 2 : 3
scale factor from A to B = 1 : 4
State if the polygons are similar.
11)
12)
15
10
14
15
12
12
115 °
10
12
12
105 °
15
115 °
14
15
35
65 °
30
30
35
Worksheet by Kuta Software LLC
-2-
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Answers to Triangle Proportions (ID: 1)
1)
4)
6)
9)
60
2) 42
similar; AA similarity; UFG
similar; SAS similarity; AVU
6
10) 12
3) similar; SSS similarity; CBA
5) not similar
7) 7
8) 9
11) not similar
12) not similar
Worksheet by Kuta Software LLC
-3-
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Practice Test
Name___________________________________ ID: 2
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Triangle Proportions
Date________________ Period____
Find the missing length. The triangles in each pair are similar.
1)
2)
C
S
45
8
T
U
?
B
S
11
50
U
N
120
55
L
M
?
T
State if the triangles in each pair are similar. If so, state how you know they are similar and
complete the similarity statement.
3)
4)
C
169
V
R
104
B
U
117
D
W
S
E
24
BCD ~ ______
F
27
39
D
UVW ~ ______
Worksheet by Kuta Software LLC
-1-
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5)
6)
M
S
N
92 °
R
L
Q
92 °
T
S
W
V
LMN ~ ______
QRS ~ ______
Solve for x.
7)
8)
2x - 15
40
-5 + 2x
9
15
24
3
9
The polygons in each pair are similar. Find the missing side length.
9)
10)
B
A
?
B
?
8
A
30
scale factor from A to B = 2 : 5
scale factor from A to B = 2 : 5
State if the polygons are similar.
11)
12)
30
14
25
24
20
45 °
30
24
45 °
8
20
8
80 °
25
14
35
25
25
80 °
35
Worksheet by Kuta Software LLC
-2-
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Answers to Triangle Proportions (ID: 2)
1)
4)
6)
9)
40
similar; SSS similarity;
similar; AA similarity;
12
2) 108
DEF
QVW
10) 20
3) similar; AA similarity;
5) similar; AA similarity;
7) 10
11) similar
BSR
LST
8) 10
12) not similar
Worksheet by Kuta Software LLC
-3-
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Practice Test
Name___________________________________ ID: 3
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Triangle Proportions
Date________________ Period____
Find the missing length. The triangles in each pair are similar.
1)
2)
84
G
L
E
14
75 °
63
A
?
B
10
F
K
30
C
L
?
75 °
45
N
M
State if the triangles in each pair are similar. If so, state how you know they are similar and
complete the similarity statement.
3)
L
4)
V
14
R
L
M
P
56
53
39
Q
PQR ~ ______
U
18 M
W
24
UVW ~ ______
5)
6)
77
B
C
D
C
J
63
L
K
JKL ~ ______
D
Q
33
P
27
R
BCD ~ ______
Worksheet by Kuta Software LLC
-1-
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Solve for x.
7)
8)
2
2
2x - 13
3
4
4
10
x+3
The polygons in each pair are similar. Find the missing side length.
9)
10)
B
A
?
B
42
A
?
scale factor from A to B = 5 : 6
21
scale factor from A to B = 1 : 3
State if the polygons are similar.
11)
12)
25
4
12
12
6.3
6.3
35
8
5
2.4
8
2.4
7
12.6
12.6
16
Worksheet by Kuta Software LLC
-2-
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Answers to Triangle Proportions (ID: 3)
1) 60
2) 42
5) similar; SAS similarity; PQR
8) 7
9) 35
12) similar
3) not similar
6) not similar
10) 7
4) not similar
7) 9
11) similar
Worksheet by Kuta Software LLC
-3-
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Practice Test
Name___________________________________ ID: 4
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Triangle Proportions
Date________________ Period____
Find the missing length. The triangles in each pair are similar.
1)
2)
C
V
7
?
A
B
?
10
E
28
E
T
D
32
U
8
D
52
F
State if the triangles in each pair are similar. If so, state how you know they are similar and
complete the similarity statement.
3)
4)
U
D
C
15
V
T
12
M
E
95
K
L
112
M
KLM ~ ______
5)
L
EDC ~ ______
6)
C
D
U
42
41
82 °
24
30
T
E
L
K
64
K
30
40
M
50
71
82 °
K
91
J
L
KLM ~ ______
JKL ~ ______
Worksheet by Kuta Software LLC
-1-
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Solve for x.
7)
8)
12
10
8
5
2x - 2
x-1
27
6
The polygons in each pair are similar. Find the missing side length.
9)
10)
A
?
15
A
?
B
B
8
scale factor from A to B = 1 : 2
scale factor from A to B = 2 : 3
State if the polygons are similar.
11)
12)
4
2.5
24
2.5
21
6
24
6
7.6
21
7.6
32
12
20
20
32
Worksheet by Kuta Software LLC
-2-
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Answers to Triangle Proportions (ID: 4)
1) 13
4) similar; AA similarity;
7) 4
11) not similar
2) 40
ELM
8) 10
12) not similar
3) not similar
5) not similar
9) 10
6) not similar
10) 4
Worksheet by Kuta Software LLC
-3-
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Practice Test
Name___________________________________ ID: 5
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Triangle Proportions
Date________________ Period____
Find the missing length. The triangles in each pair are similar.
1)
2)
C
K
30
?
49 °
27
E
G
18
J
D
L
?
40
B
C
49 °
27
36
F
A
State if the triangles in each pair are similar. If so, state how you know they are similar and
complete the similarity statement.
3)
4)
L
Q
R
27
21
K
Q
M
P
R
24
KLM ~ ______
18
B
14
C
16
P
PQR ~ ______
Worksheet by Kuta Software LLC
-1-
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5)
6)
F
35
15
M
E
C
18
51 °
9
45 °
D
E
22
L
41
B
A
45 °
51 °
D
CDE ~ ______
C
ABC ~ ______
Solve for x.
7)
8)
6
8
2
12
10
x-2
x+7
8
The polygons in each pair are similar. Find the missing side length.
9)
?
15
10)
30
?
B
A
A
B
scale factor from A to B = 3 : 5
scale factor from A to B = 5 : 6
State if the polygons are similar.
11)
12)
28
42
7
16
45 °
30
16
30
28
125 °
42
5
5
125 °
7
35
15
135 °
15
35
Worksheet by Kuta Software LLC
-2-
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Answers to Triangle Proportions (ID: 5)
1)
4)
6)
9)
18
similar; SSS similarity;
similar; AA similarity;
25
2) 27
PBC
DEF
10) 25
3) similar; AA similarity; KRQ
5) not similar
7) 6
8) 8
11) not similar
12) similar
Worksheet by Kuta Software LLC
-3-
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