Geometry Mr. Weber
Name___________________________________ ID: 1
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12-8 Proving 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)
S
536
R
R
S
Q
792
68 ° 840
1248
E
Q
1485
V
783
F
D
1005
68 °
1161
U
FED ~ ______
W
QRS ~ ______
3)
4)
L
360
T
V
408
E
276
1054
M
N
D
647
432
U
C
1674
60
46
NML ~ ______
E
D
72
TUV ~ ______
5)
6)
H
N
M
58 °
G
38 °
F
L
E
L
M
41 °
FGH ~ ______
55 °
C
D
LMN ~ ______
Worksheet by Kuta Software LLC
-1-
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7)
8)
K
J
1512
U
1071
L
F
D
T
1680
V
J
1360
1224
E
DEF ~ ______
L
867
K
TUV ~ ______
9)
10)
E
R
108
K
D
585
L
Q
P
130
R
486
V
W
M
RQP ~ ______
KLM ~ ______
Find the missing length. The triangles in each pair are similar.
11)
12)
V
36
60
52
T
33
R 20
?
N
V
M
?
T
U
Q
117
U
Worksheet by Kuta Software LLC
-2-
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13)
14)
M
R
?
22
16
84
A
49
N
L
S
48
C
B
R
40
Q
P
?
Solve for x. The triangles in each pair are similar.
15)
16)
L
T
B
14
S
28
5x + 6
U
48
6
8
K
C
T
42
x+7
J
D
11
66
L
17)
18)
B
13 x
R
24
63
C
A
L
13
K
T
S
91
8
N
M
78
M
14 x - 2
L
Worksheet by Kuta Software LLC
-3-
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Answers to 12-8 Proving similar triangles (ID: 1)
1) similar; SAS similarity;
4) similar; SSS similarity;
7) not similar
9) similar; SAS similarity;
12) 45
16) 6
3) not similar
QRS 2) not similar
6) not similar
CDE 5) similar; AA similarity; FML
8) similar; SSS similarity; JKL
10) not similar
KDE
11) 55
13) 55
14) 28
15) 14
17) 3
18) 4
Worksheet by Kuta Software LLC
-4-
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