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Chapter 11 Assignments 203
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Lesson 11.1 Assignment
Name Date
Riding a Ferris WheelIntroduction to Circles
Circle C is shown. Identify the indicated components of circle C.
1. Name the chord(s).
C
B
FV
P
Q
R
2. Name the tangent(s).
3. Name the secant(s).
4. Name the central angle(s).
5. Name the inscribed angle(s).
6. Name the major arc(s).
7. Name the minor arc(s).
8. Name the semicircle(s).
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204 Chapter 11 Assignments
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Lesson 11.1 Assignment page 2
Draw the indicated part using each given circle.
9. Draw chord ST using circle C.
C
10. Draw tangent BC using circle S, where B is the point of tangency.
S
11. Draw secant LM using circle P.
P
12. Draw central angle XYZ using circle Y.
Y
13. Draw inscribed angle JKL using circle D.
D
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Chapter 11 Assignments 205
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Take the WheelCentral Angles, Inscribed Angles, and Intercepted Arcs
Use circle S to answer each question. Explain your reasoning.
F
I
S
E
H
C
R
1. Suppose that m⁀ CE 5 59°. What is m⁀ CFE?
2. Suppose that mCSI 5 124°. What is m⁀ FI?
3. Suppose that m⁀ CE 5 55°. What is mEFC?
4. Suppose that mFSI 5 71°. What is m⁀ IC?
Lesson 11.2 Assignment
Name Date
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Lesson 11.2 Assignment page 2
5. In circle E shown, mANG 5 74°.
N
A
E
G
a. Determine mAEG.
b. Determine m⁀ ANG.
6. In circle H shown, m⁀ CA 5 105°, m⁀ EA 5 47°, and m⁀ ET 5 100°. T C
H
E A
a. Determine mETC.
b. Determine mTCE.
c. Determine mCAE.
d. Determine mTEA.
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Chapter 11 Assignments 207
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Manhole CoversMeasuring Angles Inside and Outside of Circles
1. In circle P shown, m⁀ DE 5 75° and m⁀ NA 5 49°. Determine mDTE. D
N
AET
P
2. In circle K shown, m⁀ DN 5 144° and mNCA 5 68°. Determine m⁀ EA.
D
EA
NK
C
Lesson 11.3 Assignment
Name Date
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Lesson 11.3 Assignment page 2
3. In circle O shown, m ⁀ SN 5 55° and m⁀ HA 5 35°. Determine mSCH. SN
AH
OC
4. In circle X shown, m⁀ AS 5 11° and m⁀ MS 5 104°. Determine mDCM. A
S
D
M
XC
5. In circle S shown, m⁀ ER 5 38° and m⁀ OT 5 121°. Determine mOUT.
UE
R
O
T
S
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Lesson 11.3 Assignment page 3
Name Date
6. In circle M shown, ___
XE is a diameter of the circle and m⁀ XT 5 132°.
U
E
M
X
T P
Draw a chord that connects points X and T. Then determine mXUT.
7. In circle G shown, OH 5 ES, m⁀ OH 5 41°, and U
O
S
E
H
G
41°
41°
171°
m⁀ HE 5 171°. Determine mEUH.
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Lesson 11.3 Assignment page 4
8. In circle B shown, m⁀ HE 5 99°.
R
H
BU
E
a. Determine mHUE.
b. Determine mBHU.
9. In circle T shown, mRCE 5 57° and m⁀ RE 5 141°.
CL
B
R
T
E
Determine m⁀ BL.
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Chapter 11 Assignments 211
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Color TheoryChords
1. Use circle T to complete parts (a) through (g).
T
a. Draw an inscribed right angle in circle T. Label each point where the angle intersects the circle. What is the name of the right angle?
b. Draw the chord determined by the inscribed right angle. What is the name of the chord?
c. What else do you know about the chord determined by an inscribed right angle?
d. Draw a second inscribed right angle in circle T. Label each point where the angle intersects the circle. What is the name of the second right angle?
e. Draw the chord determined by the second inscribed right angle. What is the name of the chord?
f. What else do you know about the chord determined by the second inscribed right angle?
g. Describe the relationship between the arcs that correspond to the chords you named in parts (b) and (e). Explain your reasoning.
Lesson 11.4 Assignment
Name Date
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Lesson 11.4 Assignment page 2
h. Do you think every inscribed right angle will determine the longest chord of the circle, which is the diameter of the circle? Explain your reasoning.
2. The figure shows a section of a circle. Draw two chords and construct their perpendicular bisectors to locate the center of the circle. Explain your work.
3. In circle G shown below, MG 5 1.84 centimeters, GL 5 1.98 centimeters, mGLH 5 90°, and mGMK 5 90°. Determine which chord is longer, IH or JK. Explain your reasoning.
G
I
L
H
J
M
K
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Chapter 11 Assignments 213
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Solar EclipsesTangents and Secants
1. Use circle O to complete parts (a) through (h).
O
a. Draw a tangent to circle O. Label the point of tangency as point A.
b. Label another point on the tangent you drew in part (a) as point B.
c. Draw a second tangent line to circle O that passes through point B. Label this second point of tangency as point C.
d. Draw the radii ___
OA and ____
OC.
e. What is mOAB? Explain your reasoning.
f. What is mOCB? Explain your reasoning.
Lesson 11.5 Assignment
Name Date
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Lesson 11.5 Assignment page 2
g. Use a protractor to determine the measure of AOC.
h. What is mABC? Explain your reasoning.
2. In the figure shown, rays LJ and LH are tangent to circle K,
KJ
H
L
and the measure of angle LJH is 71°. What is the measure of angle JLH? Explain your reasoning.
3. In the figure shown, WV 5 36 inches, point X is a midpoint
T
Y
XW
Z
Vof segment WV, and YV 5 40 inches. What is YZ? Explain your reasoning.
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Chapter 11 Assignments 215
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Lesson 11.5 Assignment page 3
Name Date
4. In the figure shown, line FG is tangent to circle Q, BC 5 10 feet, and
Q
F
B
C
G
CG 5 4 feet. What is FG? Explain your reasoning.
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