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Kuta Software - Infinite Geometry Name___________________________________
Similar Triangles Date________________ Period____
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the
similarity statement.
1) 2)
D A
H
16 84 14
72 12
39
S E
U 16 G 8 F
C 48 B
40
∆CBA ~ ______
T
∆UTS ~ ______
3) 4)
T V
49
14
M
V 28 U U T
8
L J
∆VUT ~ ______
L K
∆JKL ~ ______
5) 6)
U T 88
L
16 B
K C M
25 107
S ∆KLM ~ ______
C B
∆STU ~ ______
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7) 8)
U F
B E
G
84
70
C
∆EFG ~ ______
V 42 T
Q 25
R
15
30
S
∆TUV ~ ______
9) 10)
S U
76° 18
9
W V
61°
T F H
H G
61°
21
42
G 76°
∆HGF ~ ______ F
∆FGH ~ ______
11) 12)
143 9
E C
R 91
F E
44 10
S 121 D
88
56 V
D
∆FED ~ ______ 27
T 30 U
∆TUV ~ ______
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Find the missing length. The triangles in each pair are similar.
13) 14)
L U ? T
28
60
35°
K ? J
V
R
K M
42
130 117
35°
Q P L
33
15) 16)
S 9 V 9 Q
P
?
6
B ? 12
12
W
22 R
T C U
18 6
Solve for x. The triangles in each pair are similar.
17) 18)
11x − 4 A
S R
77
70 C
11x + 11 B
T D
B
30
60
E 21 F
D 50 C
19) 20)
64 V
−4 + 4x U 5x + 11 88
J K
36 U W
27
72 24
T 96 S T
18
L U
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Kuta Software - Infinite Geometry Name___________________________________
Similar Triangles Date________________ Period____
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the
similarity statement.
1) not similar 2) similar; SSS similarity; ∆FGH
D A
H
16 84 14
72 12
39
S E
U 16 G 8 F
C 48 B
40
∆CBA ~ ______
T
∆UTS ~ ______
3) similar; SAS similar4it)y ; ∆VLM similar; AA similarity; ∆TUV
T V
49
14
M
V 28 U U T
8
L J
∆VUT ~ ______
L K
∆JKL ~ ______
5) not similar 6) not similar
U T 88
L
16 B
K C M
25 107
S ∆KLM ~ ______
C B
∆STU ~ ______
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