Geometry
Independent Practice
Name ______________________
10.1-10.4
Period ___________
Properties of Tangent, Chords, Arc Measures, and Inscribed Angles
Date ___________
Find the measure of the indicated angle or arc in P.
1. mTU
2. mAB
3. m JLM
4. m A
5. m K
6. mVT
Find the values of the variables.
7.
8.
9.
In the diagram, BC is a radius of ⊙C. Determine whether AB is tangent to ⊙C. Explain your reasoning.
10.
11.
12. In the diagram, AB is tangent to ⊙C at point B.
13. JK is tangent to ⊙L at K and JM is tangent
to ⊙L at M. Find the value of x.
Find the radius r of ⊙C.
MQ and NR are diameters of O. Determine whether the given arc is a minor arc, major arc, or semicircle.
Then find the measure of the arc.
14. MN
15. NQ
16. NQR
17. MR
18. QMR
19. QR
Use the illustration and the given information for #20 – 25.
AB , BC , and AC are tangent to circle O. The radius of circle O is 6, DB = 10, and m DOE =140 0 .
D
.
A
F
20. FE =
B
O
E
________
21. m OEB = ________
22. mDE = ________
23. EB = _________
24. m EFD = _________
25. OB = __________
C
minor, 73o
63o
28o
42o
yes
16, 14
21
minor, 107o
minor, 107o
140o
46o
6
yes
39, 29
10
major, 287o
2 34
140o
290o
90o
122o
3
12
Answer Bank:
semicircle,
180o
minor, 73o