CCS2 Honors – Assignment 9.1-9.3
Name:_____________________ Per. ___
Complete work on own paper where stated. Show your work where more than one step is required.
1. Vocabulary Identify an instance of each term in the diagram
a. center of the circle
g. central angle
b. chord
h. inscribed angle
c. secant of the circle
i. arc
d. tangent of the circle
j. major arc
e. point of tangency
k. minor arc
f. diameter
l. semicircle
2. Identify the indicated part of each circle.
⃡
a. ZY
b. 𝐴𝐵
3. Identify each angle as inscribed or central.
arc.
a. ∠𝑈𝑅𝐸
b. ∠𝑍𝑂𝑀
c. ∠𝐾𝑂𝑀
d. ∠𝑍𝐾𝑈
e. ∠𝑀𝑂𝑈
f. ∠𝑅𝑂𝐾
5. Determine the measure of each central angle.
inscribed angle.
a. 𝑚∠𝐹𝑀𝑅
b. 𝑚∠𝐾𝑊𝑆
7. Determine the measure of each intercepted arc.
d. ∠𝑆𝑄𝑅
c. D
4. Determine the measure of each minor
a.
b.
6. Determine the measure of each
a. 𝑚∠𝑋𝑌𝑍
b. 𝑚∠𝑆𝐺𝐼
8. Calculate the measure of each angle.
a. mIU
b.
mDS
9. . In circle C, mXZ = 86 . What is
the mWY ?
12. . In circle C, mÐWYX = 50 and
mÐXYZ = 30 . What is mWXZ ?
a. The measure of ∠𝐶𝑂𝐷
is 98° . What is the
measure of ∠𝐶𝐸𝐷?
10. In circle C,
mÐWCX = 102 . What is
mYZ ?
13. Use circle S to answer
each question. Explain your
reasoning.
(own paper)
a. Suppose that
b. The measure of ∠𝐺𝑂𝐻 is 74° .
What is the measure of ∠𝐺𝐼𝐻?
11. In circle C, mÐWCY = 83 .
What is mÐXCZ ?
d. Suppose that mÐFSI = 71 .
What is mIC ?
mCE = 59 . What is
mCFE ?
b. Suppose that
mÐCSI = 124 . What
is mFI ?
c. Suppose that
mCE = 55 . What is
mÐEFC ?
14. . In circle E shown,
mÐANG = 74 .
a. Determine mÐAEG .
b. Determine mANG .
15. In circle H shown,
mCA = 105 , mEA = 47 ,
and mET = 100 .
a.
b.
c.
d.
16. Write an expression for the measure of the angle.
angle.
Determine
Determine
Determine
Determine
mÐETC .
mÐTCE .
mÐCAE .
mÐTEA .
17. List the intercepted arc(s) for the given
a. 𝑚∠𝐴𝐶𝐷
b. 𝑚∠𝐻𝐽𝐼
a. ∠𝐹𝐸𝐻
18. Write an expression for the measure of the given angle.
a. 𝑚∠𝑆𝑅𝑇
b. 𝑚∠𝐷𝐴𝐶
19. Determine mFI .
mÐK = 20
mGJ = 80
21. In circle P shown,
mDE = 75 and mNA = 49
.Determine mÐDTE .
24. In circle M shown, ̅̅̅̅
𝑋𝐸 is a
diameter of the circle and
mXT = 132 . Draw a chord that
connects points X and T. Then
determine mÐXUT .
b. ∠𝑅𝑆𝑈
20. Determine mÐKLJ
. mKM = 120
mJN = 100
22. In circle O shown, mSN = 55
23. In circle S shown, mER = 38 and
and mHA = 35 .
mÐSCH .
mOT = 121 Determine mÐOUT .
Determine
25. In circle G shown, OH = ES,
mOH = 41 , and mHE = 171 .
Determine mÐEUH
26. In circle B shown, mHE = 99 .
a. Determine mÐHUE .
b. Determine mÐBHU .
27. Solve for x
28. Solve for x
30. From the given
information, find the
missing angles and arcs.
29. From the given information,
find the missing angles and
arcs.
mA 
m AB 
mB 
mC 
mBC  50
m AC 
31. Determine whether AB is
tangent to circle C.
Given: BC = 17, AC = 8,
AB = 12.
mR 
32. Find the value of x.
a.
mS 
mP  90
mQ 
mRS 
mSP 
mPQ 
mQR  120
32b.
32c.
34. sin
2

3
35. cot(90 ) 