geometry textbook chapter 7-8

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1、RightTrianglesand7Trigonometry7.1ApplythePythagoreanTheorem7.2UsetheConverseofthePythagoreanTheorem7.3UseSimilarRightTriangles7.4SpecialRightTriangles7.5ApplytheTangentRatio7.6ApplytheSineandCosineRatios7.7SolveRightTrianglesBeforeInpreviouscoursesandinChapters1–6,youlearnedthefollow

2、ingskills,whichyou’lluseinChapter7:classifyingtriangles,simplifyingradicals,andsolvingproportions.PrerequisiteSkillsVOCABULARYCHECKNamethetriangleshown.1.2.3.4.8082587581358SKILLSANDALGEBRACHECKSimplifytheradical.(Reviewp.874for7.1,7.2,7.4.)}}2}}75.Ï456.13Ï727.Ï3pÏ58.}}Ï2Solvetheprop

3、ortion.(Reviewp.356for7.3,7.5–7.7.)3122xx151x1469.}5}10.}5}11.}5}12.}5}x1631842x245Npcpcosgqgrc
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aj_qqxmlc,amk430NowInChapter7,youwillapplythebigideaslistedbelowandreviewedintheChapterSummaryonpage493.Youwillalsousethekeyvocabularylistedbelow.BigIdeas1UsingthePythag

4、oreanTheoremanditsconverse2Usingspecialrelationshipsinrighttriangles3UsingtrigonometricratiostosolverighttrianglesKEYVOCABULARY•Pythagoreantriple,p.435•cosine,p.473•inversetangent,p.483•trigonometricratio,p.466•angleofelevation,p.475•inversesine,p.483•tangent,p.466•angleofdepression,

5、p.475•inversecosine,p.483•sine,p.473•solvearighttriangle,p.483Why?Youcanusetrigonometricratiostofindunknownsidelengthsandanglemeasuresinrighttriangles.Forexample,youcanfindthelengthofaskislope.GeometryTheanimationillustratedbelowforExample4onpage475helpsyouanswerthisquestion:Howfarwi

6、llyouskidownthemountain?Vlr^obphffkdaltk^jlrkq^fktfqe^k^iqfqrablcvjbqbop+Qeb^kdiblcabmobppflkfpw»+Qebafpq^k`bvlrphfaltkqebjlrkq^fkfpujbqbop+@if`hqebpmfk_rqqlkqlpq^oqqeb^`qfsfqv+w»u:uvv:w:Pq^oqPmfkYoucanuserighttrianglestofindtheClickonthe“Spin”but

7、tontogeneratedistanceyouskidownamountain.valuesforyandz.Findthevalueofx.Geometryatclasszone.comGeometryatclasszone.comOtheranimationsforChapter7:pages434,442,450,460,and462431InvestigatingInvestiggggatingGeometryACTIVITYACTIVITYUsebeforeLesson7.17.1PythagoreanTheoremMATERIALS•graphpa

8、per•ruler•pe