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CIRCLES 1. Moody Mathematics. VOCABULARY: Identify the name of the object pictured in each frame. Moody Mathematics. Center. Moody Mathematics. Radius. Moody Mathematics. Tangent. Moody Mathematics. Point of Tangency. Moody Mathematics. Secant. Moody Mathematics. Chord. - PowerPoint PPT Presentation
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CIRCLES 1CIRCLES 1
Moody MathematicsMoody Mathematics
VOCABULARVOCABULARY: Y: Identify the Identify the name of the name of the object pictured in object pictured in each frame.each frame.
Moody MathematicsMoody Mathematics
CenteCenterr
Moody MathematicsMoody Mathematics
RadiuRadiuss
Moody MathematicsMoody Mathematics
TangenTangentt
Moody MathematicsMoody Mathematics
Point of Point of TangencyTangency
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SecantSecant
Moody MathematicsMoody Mathematics
ChordChord
Moody MathematicsMoody Mathematics
DiametDiameterer
Moody MathematicsMoody Mathematics
Concentric Concentric CirclesCircles
Moody MathematicsMoody Mathematics
Central Central AngleAngle
Moody MathematicsMoody Mathematics
Inscribed Inscribed AngleAngle
Moody MathematicsMoody Mathematics
Inscribed Inscribed PolygonPolygon
Moody MathematicsMoody Mathematics
Circumscribed Circumscribed PolygonPolygon
Moody MathematicsMoody Mathematics
Inscribed CircleInscribed Circle
Moody MathematicsMoody Mathematics
Circumscribed Circumscribed CircleCircle
Moody MathematicsMoody Mathematics
Intercepted Intercepted ArcArc
Moody MathematicsMoody Mathematics
Minor ArcMinor Arc
Moody MathematicsMoody Mathematics
ABA B
SemicircleSemicircle
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BA
C
ABC
Major ArcMajor Arc
Moody MathematicsMoody Mathematics
A
C
BACB
Angles & Angles & Arcs: Arcs:
Moody MathematicsMoody Mathematics
The measure of the The measure of the angle depends mostly angle depends mostly on where it’s vertex on where it’s vertex lies. Is it inside the lies. Is it inside the circle, on the circle, or circle, on the circle, or outside the circle?outside the circle?
Moody MathematicsMoody Mathematics
The measure of a minor arc is the same as…
…the measure of its central angle.
Moody MathematicsMoody Mathematics
The measure of an inscribed angle is…
…half the measure of its intercepted arc.
Moody MathematicsMoody Mathematics
The measure of an angle formed by a tangent and secant is …
…half the measure of its intercepted arc.
Moody MathematicsMoody Mathematics
The measure of one of the vertical angles formed by 2 intersecting chords
...is half the sum of the two intercepted arcs.
Moody MathematicsMoody Mathematics
The measure of an angle formed by 2 secants intersecting outside of a circle is…
…half the difference of the measures of its two intercepted arcs.
Moody MathematicsMoody Mathematics
The measure of an angle formed by 2 tangents intersecting outside of a circle is…
…half the difference of the measures of its two intercepted arcs.
Moody MathematicsMoody Mathematics
If a quadrilateral is inscribed in a circle then each pair of opposite angles …
...must be supplementary.(total 180o)
Angles & Angles & Arcs: Arcs: Find the Find the measure of the measure of the indicated object indicated object in each frame.in each frame.Moody MathematicsMoody Mathematics
88o
88x
x
Moody MathematicsMoody Mathematics
x320 40x
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25 o
x50x
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68
x34x
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x 100 o
60 o
80x
Moody MathematicsMoody Mathematics
40
x
150
95x
Moody MathematicsMoody Mathematics
x
130 o
50x
Moody MathematicsMoody Mathematics
47
x 133x
Moody MathematicsMoody Mathematics
x
130
30
50x
Moody MathematicsMoody Mathematics
x
252065x
Moody MathematicsMoody Mathematics
x
130
115x
Moody MathematicsMoody Mathematics
40
x40x
Moody MathematicsMoody Mathematics
x
54
y
27x y
Moody MathematicsMoody Mathematics
The EndThe End
34
2
x
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34
2
X=6
Moody MathematicsMoody Mathematics
10
x
Moody MathematicsMoody Mathematics
10
X=10
Moody MathematicsMoody Mathematics
