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1、MeasuringLength11andArea11.1AreasofTrianglesandParallelograms11.2AreasofTrapezoids,Rhombuses,andKites11.3PerimeterandAreaofSimilarFigures11.4CircumferenceandArcLength11.5AreasofCirclesandSectors11.6AreasofRegularPolygons11.7UseGeometricProbabilityBeforeInpr
2、eviouschapters,youlearnedthefollowingskills,whichyou’lluseinChapter11:applyingpropertiesofcirclesandpolygons,usingformulas,solvingforlengthsinrighttriangles,andusingratiosandproportions.PrerequisiteSkillsVOCABULARYCHECKD3A708Givetheindicatedmeasurefor(P.PC1
3、.Theradius2.Thediameter3.mCADBBSKILLSANDALGEBRACHECK4.Useaformulatofindthewidthwoftherectanglethathasaperimeterof24centimetersandalengthof9centimeters.(Reviewp.49for11.1.)InnABC,angleCisarightangle.UsethegiveninformationtofindAC.(Reviewpp.433,457,473for11.1
4、,11.6.)5.AB514,BC566.m∠A5358,AB5257.m∠B5608,BC558.Whichspecialquadrilateralshavediagonalsthatbisecteachother?(Reviewpp.533,542for11.2.)9.UseaproportiontofindYXYifnUVW,nXYZ.V1258(Reviewp.372for11.3.)UWXZNpcpcosgqgrcqigjjqnp_argac_raj_qqxmlc,amk718NowInCh
5、apter11,youwillapplythebigideaslistedbelowandreviewedintheChapterSummaryonpage779.Youwillalsousethekeyvocabularylistedbelow.BigIdeas1Usingareaformulasforpolygons2Relatinglength,perimeter,andarearatiosinsimilarpolygons3Comparingmeasuresforpartsofcirclesandth
6、ewholecircleKEYVOCABULARY•basesofaparallelogram,p.720•centerofapolygon,p.762•heightofaparallelogram,p.720•radiusofapolygon,p.762•heightofatrapezoid,p.730•apothemofapolygon,p.762•circumference,p.746•centralangleofaregularpolygon,p.762•arclength,p.747•probabi
7、lity,p.771•sectorofacircle,p.756•geometricprobability,p.771Why?Youcanapplyformulasforperimeter,circumference,andareatofindandcomparemeasures.Tofindlengthsalongarunningtrack,youcanbreakthetrackintostraightsidesandsemicircles.GeometryTheanimationillustratedbe
8、lowforExample5onpage749helpsyouanswerthisquestion:Howfardoesarunnertraveltogoaroundatrack?Ibkdqe lc b^`eIbkdqe ^olrka b^`eAfpq^k`b : /( /pqo^fdeq pb`qflkpbjf`fo`ri^o ^o`./ mo/m o/Ibkdqe lc b^`eAfpq^