Geometry
Name___________________________________ ID: 1
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Examples 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)
A
45
R
11
Q
10
65
75
B
C
9
36
T
S
S
C
13
9
40
44
B
U
A
15
SRQ ~ ______
STU ~ ______
3)
D
4)
E
40
F
165
99
40
C
E
M
59
V
70
G
164
35
W
60
U
N
L
70
EFG ~ ______
NML ~ ______
5)
U
22
11
T
V
Q
16
8
R
TUV ~ ______
Worksheet by Kuta Software LLC
-1-
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6)
G
36
30
Q
F
23
104
Q
130
S
156
R
QRS ~ ______
Find the missing length. The triangles in each pair are similar.
7)
8)
B
K
10
14
12
77
R
A
P
C
11
L
?
18
S
T
Q
?
R
9)
10)
T
Q
88
25
45
S
R
132
B
?
A
?
126
C
E
11)
R
P
32
F
L
K
18
21
D
48
B
?
C
Worksheet by Kuta Software LLC
-2-
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Geometry
Name___________________________________ ID: 1
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Examples 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)
similar; SSS similarity; CBA 2)
A
similar; SSS similarity; ABC
45
R
11
Q
10
65
75
B
C
9
36
T
S
S
C
13
9
40
44
B
U
A
15
SRQ ~ ______
STU ~ ______
3)
D
E
40
similar; SAS similarity; CDE
4)
not similar
F
165
99
40
C
E
M
59
V
70
G
164
35
W
60
U
N
L
70
EFG ~ ______
NML ~ ______
5)
similar; SAS similarity; TQR
U
22
11
T
V
Q
16
8
R
TUV ~ ______
Worksheet by Kuta Software LLC
-1-
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6)
not similar
G
36
30
Q
F
23
104
Q
130
S
156
R
QRS ~ ______
Find the missing length. The triangles in each pair are similar.
7)
8)
21
B
70
K
10
14
12
77
R
A
P
C
L
11
?
18
S
T
Q
?
R
9)
48
T
10)
70
Q
88
25
45
S
R
132
B
?
A
?
126
C
E
11)
R
P
32
F
56
L
K
18
21
D
48
B
?
C
Worksheet by Kuta Software LLC
-2-
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