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Monday, November 4 th WARM UP Fill in the blank 1. A chord is a segment whose __________are on the circle 2. A secant line intersects the circle__________.

Monday, November 4 th

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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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Page 1: Monday, November  4 th

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__________.

Page 2: Monday, November  4 th

Vocab Review

Page 3: Monday, November  4 th

D =

r = ?

r = D =

Find the diameter or

radius for each circle

Page 4: Monday, November  4 th

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

Page 5: Monday, November  4 th

Secant Line:intersects the circle at exactly TWO points

Page 6: Monday, November  4 th

a LINE that intersects the circle exactly

ONE time

Tangent Line:

Forms a ______angle

Page 7: Monday, November  4 th

Name the term that best describes the notation.

Secant

Radius

DiameterChord

Tangent

Page 8: Monday, November  4 th

CentralAngles

Page 9: Monday, November  4 th

Angle measure of a line

A line measures 180˚Supplementary angles = 180˚

P

20˚x˚

Find x

Page 10: Monday, November  4 th

Angle measure of a line

P

20˚x˚

Find x

30˚

Page 11: Monday, November  4 th

Angle measure of a line

P

4x+2˚x˚

Find x

Page 12: Monday, November  4 th

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

Page 13: Monday, November  4 th

P

E

F

D

Semicircle: An Arc that equals 180°

EDF

To name: use 3 letters

Page 14: Monday, November  4 th

measure of an arc = measure of central angle

A

B

C

Q 96

m AB

m ACB

m AE

E

=

=

=

96°

264°

84°

Page 15: Monday, November  4 th

Arc Addition PostulateA

B

C

m ABC =

m AB + m BC

Page 16: Monday, November  4 th

Tell me the measure of the following arcs.

80100

40

140A

B

C

D

R

m DAB =

m BCA =

240

260

Page 17: Monday, November  4 th

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”