Ccgps Geometry Homework Inscribed Angles Worksheet

Presentation on theme: "How do we use angle measures to find measures of arcs?"— Presentation transcript:

1 How do we use angle measures to find measures of arcs?
CCGPS GeometryUNIT QUESTION: What special properties are found with the parts of a circle?Standard: MMC9-12.G.C.1-5,G.GMD.1-3Today’s Question:How do we use angle measures to find measures of arcs?Standard: MMC9-12.G.C.2

2 AGENDANotes on CirclesNotes on Central AnglesHomework Worksheet

3 Unit 3Circles

4 Segmentsof Circles

5 Parts of a CircleCircle – set of all points _________ from a given point called the _____ of the circle.equidistantCcenterSymbol:C

6 CHORD:A segment whose endpoints are on the circle

7 RadiusRADIUS:Distance from the center to point on circleP

8 Distance across the circle through its center
DiameterDIAMETER:Distance across the circle through its centerPAlso known as the longest chord.

9 D = ?243212r = ?16r = ?4.56D = ?129

10 Use P to determine whether each statement is true or false.
QRTSTrue: thumbs up False: thumbs down

11 Secant Line:intersects the circle at exactly TWO points

12 a LINE that intersects the circle exactly ONE time
Tangent Line:a LINE that intersects the circle exactly ONE timeForms a 90°angle with a radiusPoint of Tangency: The point where the tangent intersects the circle

13 Secant Radius Diameter Chord Tangent
Name the term that best describes the notation.SecantRadiusDiameterChordTangent

14 CentralArcs

15 Central Angle : An Angle whose vertex is at the center of the circle
Major ArcMinor ArcMore than 180°Less than 180°ACBPABTo name: use 3 lettersCTo name: use 2 lettersBAPB is a Central Angle

16 Semicircle: An Arc that equals 180°
To name: use 3 lettersEDEDFPF

17 THINGS TO KNOW AND REMEMBER ALWAYS
A circle has 360 degreesA semicircle has 180 degreesVertical Angles are Equal

18 measure of an arc = measure of central angle
96Qm AB=96°BCm ACB=264°m AE=84°

19 Arc Addition Postulate
Bm ABC =+ m BCm AB

20 240 260 m DAB = m BCA = Tell me the measure of the following arcs. D
140260m BCA =R4010080CB

21 CONGRUENT ARCSCongruent Arcs have the same measure and MUST come from the same circle or of congruent circles.CBD4545110AArc length is proportional to “r”

22 ClassworkPractice Worksheet

23 Homework:Practice Worksheet

А как же «проваливай и умри». ГЛАВА 36 Ручное отключение. Сьюзан отказывалась что-либо понимать.

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