ID: 1
ESL Geometry Mr. Henao Wednesday April 17, 2017
Name___________________________________
Assignment on Similar Triangles
Date________________ Period____
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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
S
G
R
B
Q
F
E
Q
P
∆SRQ ~ ______
∆EFG ~ ______
3)
4)
R
81
C
51 G
A
18
F
Q
P
B
S
T
47
∆ABC ~ ______
U
∆PQR ~ ______
5)
E
40
K
71
J
44
F
81
L
∆JKL ~ ______
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6)
7)
M
143
L
B 99 R
Q
63
126
76°
48
56
156
K
182
B
C
S
∆QRS ~ ______
56
76°
C
A
28
∆KLM ~ ______
8)
9)
W
V
V
C
Q
U
W
D
E
R
∆CDE ~ ______
∆UVW ~ ______
10)
G
F
S
U
T
E
∆EFG ~ ______
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Find the missing length. The triangles in each pair are similar.
11)
12)
M
C
54
T
36
?
C
6
70
63
36
B
U
40
L
A
11
66
?
N
B
35
13)
14)
M
L
U
28
12
18
V
C
K
9
?
84
D
C
E
15)
W
48
D
?
16)
S
M
U
?
66
11
26
F
T
7 D
T
14
S
?
L
K
48
E
17)
18)
U
Q
?
48
108
K
77
90
F
S
G
42
V
R
?
L
T
77
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19)
20)
M
Q
?
35
L
40
R
P
?
168
E
F
K
84
30
24
D
H
G
Solve for x. The triangles in each pair are similar.
21)
22)
V
E
R
44
6 x − 3 29°
6
F
U
T
S
2 x − 10
24
G
40
D
15
29°
E
F
20
23)
24)
81
W
U
W
143
A
44
78
72
24
V
B −6 + 6 x
U
V
117
R
S
40
2 x + 21
Q
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25)
26)
T
S
18
37°
R
S
Q
26
42
B
33
37°
U
12 x − 1
99
14 + x
22
C
D
C
D
27)
28)
H
F
27
M
K
21
4 x + 15
77
L
G
H
45
3x + 5
G
66
U
F
V
54
W
29)
V
U
14
30)
27
18
18
M
W
L
V
91
7 x + 19
20
M
N
5x + 5
U
N
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Answers to Assignment on Similar Triangles (ID: 1)
1) not similar
2) similar; AA similarity; ∆EQP
3) similar; AA similarity; ∆UTS
4) not similar
5) not similar
6) similar; SAS similarity; ∆CBA
7) similar; SSS similarity; ∆QBC
8) similar; AA similarity; ∆CVW
9) similar; AA similarity; ∆URQ
10) similar; AA similarity; ∆STU
11) 20
12) 9
13) 6
14) 49
15) 13
16) 8
17) 40
18) 42
19) 32
20) 70
21) 6
22) 10
23) 12
24) 7
25) 14
26) 12
27) 12
28) 10
29) 14
30) 5
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