Word
Central
Angle
Definition/Measurement
Pictures
Definition: An angle whose vertex is the _________ of the
circle.
P
Notation:
B
A
Definition: Parts of the circle that measures less than
Minor arc
______.
Notation:
Measurement: ________ = ________
Ex: 1. If mP = 50o, then m AB =_____
P
B
2.
A
If m AB = 77o, then mP =_____
Definition: Parts of the circle that measures between
Major arc
_______ and _______.
Notation:
C
Measurement:
P
Ex: 1. If mAPB =80o then m ACB =_____
B
A
o
If m ACB =230 then mAPB= ____
2.
Definition: An arc with endpoints that are the endpoints of a
Semicircle
_______________ of a circle.
Notation:
H
Measurement: semicircle = ________
L
Ex: If m LK =105o then m HL =______
P
K
Name the arc shown in bold.
1.
2.
3.
AB and FE are diameters of C. Determine whether the given arc is a minor arc, major arc,
or semicircle.
4. AE
5. FDE
6. AEB
7. DFB
8. FA
9. BDA
10. Determine the measure for each arc.
A
B
a.) m AB = _________°
b.) mBC = _________°
D
35°
O
c.) mADB = __________°
C
Arc Addition Postulate
The measure of an arc formed by two adjacent arcs is
the _______ of the ________________ of the two arcs.
___________________ + _________________ = ________________
Theorem 10.3:
In the same circle or congruent circles, two minor arcs are congruent
if and only if __________________________________________
____________________________________________________.
AB  CD iff AB  CD
Theorem 10.4:
If one chord is the perpendicular bisector of another chord, then
_____________________________________________________.
Theorem 10.5:
If a diameter of a circle is perpendicular to a chord, then
______________________________________________________
______________________________________________________.
EG  DF  FH  DH and FG  DG
Theorem 10.6:
In the same circle, or in congruent circles, two chords
are congruent if and only if they are ____________________
from the ___________.
T
Find the measure of the given arc or chord.
11. mBC
14. mPQR
12. mLM
13. QS
15. mKLM
Find the value of x.
16.
17.