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Monday, November 4 th. Warm Up. Fill in the blank A chord is a segment whose __________are on the circle A secant line intersects the circle__________. Vocab Review. Find the diameter or radius for each circle. D =. 24. 32. 12. r = ?. 16. r =. 4.5. 6. D =. 12. 9. Q. R. P. - PowerPoint PPT Presentation
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Monday, November 4th
WARM UP
Fill in the blank1. A chord is a segment whose
__________are on the circle2. A secant line intersects the
circle__________.
Vocab Review
D =
r = ?
r = D =
Find the diameter or
radius for each circle
Use P to determine whether each statement is true or false.
P
Q
R
TS
diameter. a is .1 RTFalse
radius. a is .2 PSTrue
chord. a is .3 QT
True
Secant Line:intersects the circle at exactly TWO points
a LINE that intersects the circle exactly
ONE time
Tangent Line:
Forms a ______angle
Name the term that best describes the notation.
Secant
Radius
DiameterChord
Tangent
CentralAngles
Angle measure of a line
A line measures 180˚Supplementary angles = 180˚
P
20˚x˚
Find x
Angle measure of a line
P
20˚x˚
Find x
30˚
Angle measure of a line
P
4x+2˚x˚
Find x
P
A
BC
Central Angle : An Angle whose vertex is at the center of the
circleMinor ArcMajor Arc
Less than 180°
More than 180°
ABACB
To name: use 2 letters
To name: use 3 letters
<APB is a Central Angle
P
E
F
D
Semicircle: An Arc that equals 180°
EDF
To name: use 3 letters
measure of an arc = measure of central angle
A
B
C
Q 96
m AB
m ACB
m AE
E
=
=
=
96°
264°
84°
Arc Addition PostulateA
B
C
m ABC =
m AB + m BC
Tell me the measure of the following arcs.
80100
40
140A
B
C
D
R
m DAB =
m BCA =
240
260
Congruent Arcs have the same measure and MUST come from the same circle or of congruent circles.
4545
A
BC
D
110
Arc length is proportional to “r”