Download pdf - 10.4 Inscribed Angles and Polygons - WordPress.com · 6/10/2018  · Intercepted Arc: an arc that lies between two lines, rays, or segments Theorem: Measure of an Inscribed Angle

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Page 1: 10.4 Inscribed Angles and Polygons - WordPress.com · 6/10/2018  · Intercepted Arc: an arc that lies between two lines, rays, or segments Theorem: Measure of an Inscribed Angle

10.4InscribedAnglesandPolygonsWhatisaninscribedangle?Inscribedangle:ananglewhosevertexisonacircleandwhosesidescontainchordsofthecircleWhatisthedifferencebetweenaninscribedangleandacentralangle?InterceptedArc:anarcthatliesbetweentwolines,rays,orsegmentsTheorem:MeasureofanInscribedAngleTheoremThemeasureofaninscribedangleisone-halfthemeasureofitsinterceptsarc.Example1:UsingInscribedAnglesFindtheindicatedmeasure

a) !∠#=_________

b) measureofarcQR=_________Example2:FindingtheMeasureofanInterceptedArcFindthemeasureofarcRSand!∠$#%.Whatdoyounoticeabout∠$#%and∠%&$Theorem:InscribedAnglesofaCircleTheoremIftwoinscribedanglesofacircleinterceptthesamearc,thentheanglesarecongruent.Example3:FindingtheMeasureofanAngleGiven!∠' = 75+,find!∠,.

Page 2: 10.4 Inscribed Angles and Polygons - WordPress.com · 6/10/2018  · Intercepted Arc: an arc that lies between two lines, rays, or segments Theorem: Measure of an Inscribed Angle

Tryonyourown:Determinethemeasureoftheredarcorangle.InscribedPolygons:ApolygonIsaninscribedpolygonwhenallitsverticeslieonacircle.Example4:UsingInscribedPolygonsFindthevalueofeachvariable:Tryonyourown:Findthevalueofeachvariable.Homework:3-15odd,19-21,25-30,41**

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