This document contains information about the parts of a circle and theorems involving chords, arcs, central angles, and inscribed angles of a circle. It asks the reader to name different parts of a sample circle diagram including radii, chords, diameters, arcs, angles, and points of tangency. It also contains problems involving measuring angles and arcs and finding unknown angle measures. The document covers theorems about secants, tangents, segments, and sectors of a circle.

1. THE CIRCLE
AND ITS
PARTS

9.  AB
 BD
 ED
 AD

10. Name the following:
1. the center 6. the tangent (1)
2. the circle 7. the point of tangency (1)
3. the radii (2) 8. the secant (1)
4. the chords (3)
5. the diameter (1)

13.  Name 4 minor arcs
 Name 3 major arcs

15.  Name the central
angles in the figure

18.  Name the arc in which
angle x is inscribed
 Name the arc in which
angle y is inscribed
 Name the angle inscribed
in major arc DCB
 Name the arc which angle
ECD intercepts
 Name the angle inscribed
in major arc BDE

19. 2. Measure of angle DAB
3. Measure of arc DCB
4. Measure of arc BEC
5. If the measure of arc CD =
140°, find measure of angle C?

20. Theorems
Involving Chords,
Arcs, Central
Angles, and
Inscribed Angles

28. Theorems on
Secants, Tangents,
Segments, and
Sectors of a
Circle

58. 11
12
13
14
15

59. 16
17
18
19
20

60. 21
22
23

61. 24
25
26
27

62. 28
29
30

63. 31
32

64. 33
34
35
36
37

65. 38
39
50