geometry textbook chapter 3-4

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1、Paralleland3PerpendicularLines3.1IdentifyPairsofLinesandAngles3.2UseParallelLinesandTransversals3.3ProveLinesareParallel3.4FindandUseSlopesofLines3.5WriteandGraphEquationsofLines3.6ProveTheoremsAboutPerpendicularLinesBeforeInpreviouschapters,youlearnedthefollowingskills,whichyou’lluseinChapter3:desc

2、ribinganglepairs,usingpropertiesandpostulates,usinganglepairrelationships,andsketchingadiagram.PrerequisiteSkillsVOCABULARYCHECKCopyandcompletethestatement.1.Adjacentanglesshareacommon?.2.Twoanglesare?anglesifthesumoftheirmeasuresis1808.SKILLSANDALGEBRACHECK}ThemidpointofABisM.FindAB.(Reviewp.15for3

3、.2.)3.AM55x22,MB52x174.AM54z11,MB56z211Findthemeasureofeachnumberedangle.(Reviewp.124for3.2,3.3.)5.6.7.2131113582323388Sketchadiagramforeachstatement.(Reviewpp.2,96for3.3.)‹]›‹]›8.QRisperpendiculartoWX.9.LinesmandnintersectatpointP.Npcpcosgqgrc
qigjjq
np_argac
_r
aj_qqxmlc,amk144NowInChapter3,youwil

4、lapplythebigideaslistedbelowandreviewedintheChapterSummaryonpage201.Youwillalsousethekeyvocabularylistedbelow.BigIdeas1Usingpropertiesofparallelandperpendicularlines2Provingrelationshipsusinganglemeasures3MakingconnectionstolinesinalgebraKEYVOCABULARY•parallellines,p.147•alternateinteriorangles,•par

5、agraphproof,p.163•skewlines,p.147p.149•slope,p.171•parallelplanes,p.147•alternateexteriorangles,•slope-interceptform,p.180p.149•transversal,p.149•standardform,p.182•consecutiveinterior•correspondingangles,•distancefromapointtoangles,p.149p.149aline,p.192Why?Youcanuseslopesoflinestodeterminesteepness

6、oflines.Forexample,youcancomparetheslopesofrollercoasterstodeterminewhichissteeper.GeometryTheanimationillustratedbelowforExample5onpage174helpsyouanswerthisquestion:Howsteepisarollercoaster?Ebfdeq%cq&3/1.5--3/.--/--0--1--2--3--4--Elofwlkq^iafpq^k`b%cq&J^dkrjUI*/--Lqebooliibo`l^pqboOfpb1.Ofp

7、bOrk5-OrkJ^ufjrj/-2Ebfdeq@eb`h>kptboPq^oqPilmb+2ArollercoastertrackrisesagivenForeachtrack,usetheverticalriseanddistanceoveragivenhorizontaldistance.thehorizontalruntofindtheslope.Geometryatclasszone