geometry chapter 9 study guide: circles 1.) 2.) 3.) 4.) 9 study guide answers.pdf · geometry...
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Geometry Chapter 9 Study Guide: Circles
Necessary Skills: Pythagorean Theorem and Special Right Triangles. Solve for x and y 1.)
12
8x
2.)
y
x
460
30
3.)
x
y9
30
60
4.)
x
y
10
45
45
Key Vocabulary: Name one example of each 5.) a. radius c. chord e. tangent g. central angle i. minor arc
b. diameter d. secant f. point of tangency h. inscribed angle j. major arc
D
O
A
E
B
C
6.) Draw each: a. A rectangle inscribed in a circle Tangents:
b. A circle circumscribed about an obtuse triangle.
7.) Complete: JT is tangent to the circle at T a.) If OT = 4, JO = 12, then JT = ______ c.) If JK = 4 and KO = 6, then JT = ______
b.) If 30m J∠ = and JT= 12, JO = ____, OT = ____
K
O
J T
Central and Inscribed Angles: Solve for x and y 8.)
y
28
x
9.)
yx
65
10.)
70
y xOA B
C
11.)
y
x
50
12.)
110 yx
30
13.) 60
100y
xH
E
G
F
14.) y
x
62
60
15.)
60
100
xy
16.)
yx
40
Chords and Arcs: 17.)
x
120
D
A
B
C
18.) OT = 12, RS = 4, OR = ___, radius = ___, diameter=___
O
S
T
R
19.) CD = 6, OM = 4, ON = 3, EF = ___, radius = ___, diam. = ___
F
E
D
C
O
MN
20.) EF = 8, ON = 3, OM = 2, CD = _____
F
E
D
C
O
MN
Interior and Exterior Angles: Solve for x 21.)
x76
30
22.)
90
50
x
23.)
x
110
100
24.) x
90
170
25.)
40x
26.)
30 15x
Segments and Lengths: Solve for x 27.)
10
4 8
x
28.)
8 - xx
4
3
29.)
106
x
12
30.)
12
3
x
31.) 6
3x
x
32.)
93
5
x
Factor Completely 33.) x4 – 16
34.) x3 + x2 - 25x -25
Solve by Factoring 35.) x2 – 7x = 0
36.) 3x2 + 3x – 5 = x2 – 2x - 2
