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Infinite Geometry - Assignment
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Infinite Geometry - Assignment
S B eMPaHdjen ZwjiXtzhG dImnKfRiAnUistceF wGeeCoBmveaterFyo. Worksheet by Kuta Software LLC. Find the interior angle sum for each polygon. Round your ...
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Geometry
ID: 4
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Assignment Name each angle in four ways. 1)
2) B
R
Q 5
P 1
D
C
Find the measure of angle b. 3)
4) b
31° 79° b
5)
6) b
b
53° 111°
7)
8) b 103°
27°
b
9)
10) 92°
b 114°
b
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11)
12)
300° 28° b
b 132°
Find the circumference of each circle. 13)
14) 12 km 26 cm
Find the indicated arc length.
Write the name of each polygon.
15)
16) 12 yd
90°
State if each polygon is concave or convex.
State if each polygon is regular or not.
17)
18)
Find the measure of one interior angle in each regular polygon. Round your answer to the nearest tenth if necessary.
Find the measure of one exterior angle in each regular polygon. Round your answer to the nearest tenth if necessary.
19)
20)
Worksheet by Kuta Software LLC ©W e2T0J1M4a pK[urtLa^ KSboXfVtswyaQrReK oLTLiCL.U u ZAklrls ^rDiigHh\tAsc _rvelsoelrVvyezdS.V l qMhaVdTej dwfi`t_hE bIrn`ftiJnFiotxeJ ^GdeloFmCeDt_rQyI.
Find the interior angle sum for each polygon. Round your answer to the nearest tenth if necessary. 21)
Write a rule to describe each transformation. 22)
23)
y
y
D
S
S'
V
V'
D'
P
P'
x
K
G
x
K'
G'
N
N'
Graph the image of the figure using the transformation given. 24) translation: ( x, y) ® ( x - 3, y - 1)
25) translation: ( x, y) ® ( x + 1, y - 3)
y
y
T
V A
W H
R x
E
x
Solve for x. 26)
27) 85° 7x - 6
45°
x + 47
72°
69° Worksheet by Kuta Software LLC
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Find the length indicated. 28) Find QS
29) Find MJ 5x - 2
P Q
R
S
M
2x - 2 L
J
K
2x
20 8x + 3
x+9
3x + 3
13
Write a statement that indicates that the triangles in each pair are congruent.
Find the value of x. 30)
31) x
T
8 S
F
U
H
Complete each congruence statement by naming the corresponding angle or side. 32)
GHF @ GHE F
G
H E
FGH @ ?
State if the two triangles are congruent. If they are, state how you know. 33)
34)
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35)
Solve for x. 36)
C x+6
V
2x - 6 A
B
W
Solve for x. Each figure is a parallelogram. 37)
38)
D
G
C
B
6 x + 18
130 ° 2 + 4x E
F
A
Find the interior angle sum for each polygon. Round your answer to the nearest tenth if necessary.
D
The polygons in each pair are similar. Find the missing side length. 40)
?
15
39) 30
Find the missing length indicated. 41) 15
36
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. 42) 9 km
?
10
x
12 km
2
State if each triangle is acute, obtuse, or right. 43) 5
4 3
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Find the missing side lengths. Leave your answers as radicals in simplest form. 44)
45) 9 3 2
45°
b
x
y
60°
a
1
Find the measure of the indicated angle to the nearest degree. 46)
47) ? 13
16
?
14
19
Find the missing side. Round to the nearest tenth. 48)
49) 10 15° x
50)
x
17 36°
x
18 35°
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Answers to Assignment (ID: 4) 3) 31° 1) C, 1, BCD, DCB 2) Q, 5, PQR, RQP 4) 101° 5) 111° 6) 53° 7) 103° 8) 63° 9) 92° 10) 114° 11) 132° 12) 32° 13) 26p cm 14) 24p km 15) 36p yd² 16) quadrilateral 17) convex 18) not regular 19) 147.3° 20) 51.4° 21) 360° 22) translation: ( x, y) ® ( x + 4, y) 24) 25) 23) reflection across x = 1 y y T'
V'
W'
A' x
H'
x
E'
26) 30) 34) 38) 42)
8 8 AAS
12 15 km
46) 22° 50) 12.6
27) 31) 35) 39) 43)
-8 STU @ SHF Not congruent 1080° Right
47) 57°
28) 9 32) EGH 36) 6 40) 18 44) a = 9, b = 48) 38.6
9 2
29) 33) 37) 41) 45)
15 Not congruent
12 3 x = 2, y = 1
49) 12.4
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