assignment on similar triangles - north bergen school · pdf fileassignment on similar...
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ESL Geometry Mr. Henao Wednesday April 17, 2017ID: 1
Name___________________________________
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Assignment on Similar Triangles
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the
similarity statement.
1)
B
A
R
Q
S
∆SRQ ~ ______
2)
Q
P
F
G
E
∆EFG ~ ______
3)
UT
S
PQ
R
∆PQR ~ ______
4)
47
81
51A
B
C
18
G
F
∆ABC ~ ______
5)
40
44
E
F
71
81
K
L
J
∆JKL ~ ______
-1-
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6)
56
28
76°
C
B
A
12663
76°
K
LM
∆KLM ~ ______
7) 143
99
156
182
Q R
S
4856
C
B
∆QRS ~ ______
8) V W
DE
C
∆CDE ~ ______
9)
R
Q
V
W
U
∆UVW ~ ______
10)
S
TU
E
FG
∆EFG ~ ______
-2-
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Find the missing length. The triangles in each pair are similar.
11)
63 70
35
L
M
N
3640
? B
C
12)
66
36
54
AB
C
11
6
?
T
U
13)
9?
DC
1812
L M
K
14)
48
28
WV
U
84
?
C
DE
15)
7
?
T
S
14
26
E
FD
16)
?
11
ST
U
48
66
KL
M
17)
108
90
Q
RS
48?
F G
18)
77
77
V
U
T
42
? L
K
-3-
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19)
2430
GH
?
40
L
M
K
20)
?35
R
Q
P
168
84
FE
D
Solve for
x. The triangles in each pair are similar.
21)
20
15
29°FE
D
44
6
x − 329°
V
UT
22)
40
24
GF
E
2
x − 10
6
R
S
23)
40
2
x + 21
Q
R S
72
81U
V
W
24)
117
78
143
UV
W
−6 + 6
x
24
44
A
B
-4-
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25)
14 +
x22
CD
42
33
T
S
U
26)
26
18
37°QR
S
12
x − 1
99
37°
B
CD
27)
66
54
U V
W
77
4
x + 15
F
G
H28)
21
27 K
L
M
3
x + 5 45
F
G H
29)
14 18
V U
91
7
x + 19
M
N
L
30) 27
5
x + 5
W V
U
18
20
N
M
-5-
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-6-
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