CONGRUENT FIGURES:____________________________________________________________
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CORRESPONDING PARTS:___________________________________________________________
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In order to prove that figures are congruent, you must show
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HW #34
Name___________________________________
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Congruent Triangles, Corresponding Sides, Triangle Inequality Theorem
Find the measure of angle A.
1)
2)
A
x + 68
x + 55
82°
x + 52
A
81°
x + 48
Find the value of x.
3)
4)
x
114°
56°
x
5)
6)
96°
x
x
120°
7) m 2 = 9 x - 5
8) m 2 = 56 + x
96°
2
2
112°
Worksheet by Kuta Software LLC
-1-
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9) m 2 = 5 x
10) m 2 = 19 x - 3
2
2
30°
100°
State if the three numbers can be the measures of the sides of a triangle. Show your work.
11) 2, 11, 12
12) 6, 12, 6
13) 2, 10, 11
14) 8, 20, 10
15) 10, 18, 11
16) 8, 10, 15
Two sides of a triangle have the following measures. Find the range of possible measures for
the third side. Show your work.
17) 12, 9
18) 12, 7
19) 6, 9
20) 7, 9
21) 6, 10
22) 9, 11
Mark the angles and sides of each pair of triangles to indicate that they are congruent.
23)
MLK @ LMC
24)
C
H
M
YZX @ ZYH
Z
L
Y
X
K
25)
26)
CBA @ CQR
Q
SUT @ USX
S
R
T
X
U
C
A
B
Worksheet by Kuta Software LLC
-2-
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Complete each congruence statement by naming the corresponding angle or side.
27)
28)
DBC @ DLM
L
PQR @ QPW
W
M
P
Q
D
R
C
B
PQ @ ?
CD @ ?
29) QPR @ MRN
30)
MLN @ MBA
N
L
P
M
B
Q
N
M
R
RQ @ ?
A
31)
JLK @ KFG
32)
LN @ ?
QRS @ CSA
33)
LKJ @ ?
CDE @ EVW
34)
QR @ ?
TSR @ RDC
D@?
SR @ ?
Write a statement that indicates that the triangles in each pair are congruent.
35)
36)
F
W
V
U
Q
H
37)
G
S
Y
T
Y
X
38)
D
X
V
W
E
Z
-3-
U
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Worksheet by Kuta Software LLC