Chapter 6: Similarity Through Transformations
Name___________________________________
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6.2 ~ Similar Triangle Theorems
Past due on________________ Period____
Determine whether the triangles shown are similar. Use the definition of similar triangles and
your knowledge of the similar triangle theorems to explain your reasoning. If the triangles are
similar, identify the similarity theorem and complete the similarity statement.
1)
2)
M
54 °
F
S
T
G
54 °
4)
M
T
S
18
32
30
E
34
L
24
L
TSR ~ ______
MLK ~ ______
3)
40 °
K
L
K
R
32 °
42 °
F
17
18
K
U
Q
UTS ~ ______
48
S
36
R
45
QRS ~ ______
5)
6)
R
E
F
15
L
J
57
S
19
M
L
Q
45
K
JKL ~ ______
SRQ ~ ______
Worksheet by Kuta Software LLC
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The triangles shown are similar. Identify the similarity theorem: AA, SSS, or SAS. Set up and
solve a proportion to find the missing segment length.
7)
8)
H
E
54
56
?
108
52
R
F
126
S
G
66
G
M
F
117
?
L
9)
N
9
B
10)
A
R
?
72
U
126
C
18
?
32
G
Q
F
S
V
17
136
The triangles shown are similar. Identify the similarity theorem: AA, SSS, or SAS. Set up and
solve a proportion to find the value of x.
11)
12)
C
M
70
36
B
84
S
2 x + 11
U
30
A
3x - 3
18
20
T
L
T
K
16
24
13)
14)
Q
N
22
W
27
18
11
9
R
26 V
x+3
S
W
9
L
14
M
2 x - 21
V
Worksheet by Kuta Software LLC
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