Assignment on Similar Triangles - North Bergen School · PDF fileAssignment on Similar...
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Transcript of Assignment on Similar Triangles - North Bergen School · PDF fileAssignment on Similar...
©8 72j0h1B3W 6KSubt6aI 1SVo8ftt6wtanrsej wLvLGCc.E x pAxlPlx Jr1iugsh3t7sU krMeAsbeDrhvceJdR.n A WMmapdPeu Twriwtihe AIkn5fLiwnGiQt0ey hG2eroZmSeetyrAyK.3 Worksheet by Kuta Software LLC
ESL Geometry Mr. Henao Wednesday April 17, 2017ID: 1
Name___________________________________
Period____Date________________©w k2D0r1x3Q 0K1ukt2aw ZSWo4fXtSwtaxrveM cLYLqC4.I B MAWl8l1 DrCi8gwhRtisz 2rIeDs0eBr5vReKd4.P
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
