Glencoe Mathematics - Glencoe Geometry (intro textbook)-bookfix.com (2004).pdf

1、interactivestudenteditionBoyd Cummins MalloyCarter FloresCopyright 2004 by The McGraw-Hill Companies,Inc.All rights reserved.Except as permitted under the United States Copyright Act,no part of thispublication may be reproduced or distributed in any form or by anymeans,or stored in a database or ret

2、rieval system,without priorpermission of the publisher.The USA TODAYservice mark,USA TODAY Snapshotstrademark,and other content from USA TODAYhas been licensed by USA TODAYfor use for certain purposes by Glencoe/McGraw-Hill,a Division of The McGraw-Hill Companies,Inc.The USA TODAY Snapshotsand theUS

3、A TODAYarticles,charts,and photographs incorporated herein aresolely for private,personal,and noncommercial use.The Geometers Sketchpadis a registered trademark of Key CurriculumPress.Send all inquiries to:Glencoe/McGraw-Hill8787 Orion PlaceColumbus,OH 43240-4027ISBN:0-07-860173-8Printed in the Unit

4、ed States of America.1 2 3 4 5 6 7 8 9 10 055/071 12 11 10 09 08 07 06 05 04 03The Standardized Test Practice features in this book were aligned and verified by The Princeton Review,the nations leader in test preparation.Through its associationwith McGraw-Hill,The Princeton Review offers the best wa

5、y to help students excelon standardized assessments.The Princeton Review is not affiliated with Princeton University or Educational Testing Service.iiiContents in BriefUnit Lines and Angles.2Chapter 1Points,Lines,Planes,and Angles.4Chapter 2Reasoning and Proof.60Chapter 3Parallel and Perpendicular L

6、ines.124Unit Triangles.174Chapter 4Congruent Triangles.176Chapter 5Relationships in Triangles.234Chapter 6Proportions and Similiarity.280Chapter 7Right Triangles and Trigonometry.340Unit Quadrilaterals and Circles.400Chapter 8Quadrilaterals.402Chapter 9Transformations.460Chapter 10Circles.520Unit Ar

7、ea and Volume.590Chapter 11Areas of Polygons and Circles.592Chapter 12Surface Area.634Chapter 13Volume.686ivCindy J.BoydMathematics TeacherAlbilene High SchoolAbilene,TexasCarol MalloyAssociate Professor,MathEducationThe University of NorthCarolina at Chapel HillChapel Hill,North CarolinaJohn Carter

8、Director of MathematicsAdlai E.Stevenson HighSchoolLincolnshire,IllinoisAlfinio Flores,Ph.D.ProfessorArizona State UniversityTempe,ArizonaContributing AuthorsDinah ZikeEducational ConsultantDinah-Might Activities,Inc.San Antonio,TXUSA TODAYThe USA TODAY Snapshots,created byUSA TODAY,help students ma

9、ke the connection between real life and mathematics.Jerry CumminsPast PresidentNational Council ofSupervisors ofMathematics(NCSM)Western Springs,IllinoisAuthorsvContent ConsultantsEach of the Content Consultants reviewed every chapter and gavesuggestions for improving the effectiveness of the mathem

10、aticsinstruction.Ruth M.CaseyMathematics Teacher/Department ChairAnderson County High SchoolLawrenceburg,KYGilbert CuevasProfessor of Mathematics EducationUniversity of MiamiCoral Gables,FLAlan G.FosterFormer Mathematics Department ChairAddison Trail High SchoolAddison,ILLinda M.HayekCurriculum Faci

11、litatorRalston Public SchoolsOmaha,NEBerchie HollidayEducational ConsultantSilver Spring,MDJoseph KavanaughAcademic Head for MathematicsScotia-Glenville Senior High SchoolScotia,NYYvonne Medina MojicaMathematics CoachVerdugo Hills High School,Los AngelesUnified School DistrictTujunga,CATeacher Revie

12、wersEach Teacher Reviewer reviewed at least two chapters of theStudent Edition,giving feedback and suggestions for improvingthe effectiveness of the mathematics instruction.Liza AllenMath TeacherConway High School West Conway,ARMolly M.AndayaMathematics TeacherEllensburg H.S.Ellensburg,WADavid J.Arm

13、strongMathematics FacilitatorHuntington Beach UHSDHuntington Beach,CAJerry C.BencivengaConsultantConnecticut VTSSConnecticut SDEMiddletown,CTPatrick M.BlakeMath Department ChairpersonRitenour H.S.St.Louis,MODonna L.BurnsMath Department ChairpersonLos Angeles H.S.Los Angeles,CANita CarpenterMathemati

14、cs TeacherOkemos H.S.Okemos,MI Vincent CirauloSupervisor of MathematicsJ.P.Stevens H.S.Edison,NJKeitha ClevelandMathematics TeacherE.S.Aiken Optional SchoolAlexandria,LAJanice Garner CofferMath Department ChairpersonPage H.S.Greensboro,NCKaryn S.CumminsMathematics Department HeadFranklin Central H.S

15、.Indianapolis,INChristine B.DenardoMath Teacher and Department ChairBlacksburg H.S.Blacksburg,VAJoseph N.Di CioccioMathematics Teacher/DepartmentChairMahopac H.S.Mahopac,NYRobert A.Di Dio,M.S.Ed.,P.D.Assistant PrincipalIS 192XBronx,NYJames S.EmeryGeometry TeacherBeaverton H.S.Beaverton,MIContent Con

16、sultantsTeacher ReviewersviNancy S.FallsMath Department Chair/Geometry TeacherNorthern York County H.S.Dillsburg,PAJane FasulloRetired High School TeacherWard Melville H.S.E.Setauket,NYSusan FischbeinMath Department ChairDesert Mountain H.S.Scottsdale,AZDolores FischerMathematics TeacherAdlai E.Stev

17、enson H.S.Lincolnshire,IL Joyce E.FisherMath TeacherLa Cueva H.S.Albuquerque,NMCandace FrewinTeacher on Special AssignmentPinellas County SchoolsLargo,FLKaren L.GeorgeMath TeacherTaunton H.S.Taunton,MADouglas E.HallGeometry TeacherChaparral H.S.Las Vegas,NVCynthia D.HodgesTeacherShoemaker H.S.Killee

18、n,TXBrian J.JohnsonK12 Curriculum Specialist Bay City Public SchoolsBay City,MIMelissa L.JonesMathematics TeacherBexley H.S.Bexley,OHNancy Lee KeenGeometry TeacherMartinsville H.S.Martinsville,INJohn R.KennedyMathematics Department ChairmanDerby H.S.Derby,KSSharon KennerAlgebra/Geometry TeacherCocon

19、ut Creek H.S.Coconut Creek,FLJulie KolbMathematics TeacherLeesville Road H.S.Raleigh,NCGary KubinaMath Department HeadCitronelle H.S.Citronelle,ALJenita LyonsMathematics TeacherWilliam M.Raines H.S.Jacksonville,FLDebra D.McCoyMath TeacherHixson H.S.Chattanooga,TNDelia Dee MillerGeometry/Algebra II T

20、eacherCaddo Parish Magnet H.S.Shreveport,LA Kenneth E.MontgomeryMathematics TeacherTri-Cities H.S.East Point,GACynthia OrkinTeacher/Department ChairpersonBrookville H.S.Lynchburg,VASusan M.PareceMathematics TeacherPlymouth South H.S.Plymouth,MAMike PattersonHigh School Mathematics TeacherAdvanced Te

21、chnologies AcademyLas Vegas,NVCynthia W.Poch Math TeacherSalmen H.S.Slidell,LA David E.RaderK12 Math/Science SupervisorWissahickon School DistrictAmbler,PAMonique SiedschlagMath TeacherThoreau H.S.Thoreau,NMFrank Louis SparksCurriculum Design and SupportSpecialistMathematicsNew Orleans Public School

22、sNew Orleans,LAAlice Brady SprinkleMath TeacherBroughton H.S.Raleigh,NCJoy F.StanfordMathematics ChairBooker T.Washington Magnet H.S.Montgomery,ALDora SwartMath Teacher&Department ChairW.F.West H.S.Chehalis,WADavid TateMathematics TeacherPrairie Grove H.S.Prairie Grove,ARKathy ThirkellMath Curriculu

23、m CoordinatorLewis-Palmer H.S.Monument,COMarylu TyndellTeacher of MathematicsColts Neck H.S.Colts Neck,NJSarah L.WaldropMath Department ChairpersonForestview H.S.Gastonia,NCChristine A.WattsMathematics Department ChairmanMonmouth H.S.Monmouth,ILRen Wilkins Mathematics TeacherFairhope H.S.Fairhope,AL

24、Rosalyn ZeidMathematics SupervisorUnion Township Public SchoolsUnion,NJSnapshots16Standardized Test Practice Multiple Choice 11,19,23,25,27,35,43,50,57,58 Short Response/Grid In 43,50,59 Open Ended 59Constructions15,18,24,31,33,44Study Organizer5Reading and Writing Mathematics Describing What You Se

25、e 12 Reading Math Tips 6,29,45,46 Writing in Math 11,19,27,35,43,50Prerequisite Skills Getting Started 5 Getting Ready for the Next Lesson 11,19,27,36,43viiTable of ContentsLines and Angles2Chapter Points,Lines,Planes,and Angles41-1Points,Lines,and Planes.61-2Linear Measure and Precision.13Practice

26、Quiz 1:Lessons 1-1 and 1-2.19Geometry Activity:Probability and Segment Measure.201-3Distance and Midpoints.21Geometry Activity:Modeling the Pythagorean Theorem.281-4Angle Measure.29Practice Quiz 2:Lessons 1-3 and 1-4.361-5Angle Relationships.37Geometry Activity:Constructing Perpendiculars.441-6Polyg

27、ons.45Geometry Software Investigation:Measuring Polygons.51Study Guide and Review.53Practice Test.57Standardized Test Practice.58 Introduction 3 Follow-Ups 23,65,155 Culmination 164Lesson 1-5,p.37Unit 1Unit 1viiiChapter Reasoning and Proof602-1Inductive Reasoning and Conjecture.622-2Logic.672-3Condi

28、tional Statements.75Practice Quiz 1:Lessons 2-1 through 2-3.802-4Deductive Reasoning.82Geometry Activity:Matrix Logic.882-5Postulates and Paragraph Proofs.892-6Algebraic Proof.94Practice Quiz 2:Lessons 2-4 through 2-6.1002-7Proving Segment Relationships.1012-8Proving Angle Relationships.107Study Gui

29、de and Review.115Practice Test.121Standardized Test Practice.122Prerequisite Skills Getting Started 61 Getting Ready for the Next Lesson 66,74,80,87,93,100,106Study Organizer61Reading and WritingMathematics Biconditional Statements 81 Reading Math Tips 75 Writing in Math 66,74,79,86,93,99,106,114Sta

30、ndardized Test Practice Multiple Choice 66,74,80,86,87,93,96,97,99,106,114,121,122 Short Response/Grid In 106,123 Open Ended 123Snapshots63Lesson 2-3,p.79Unit 1Unit 1ixChapter Parallel and Perpendicular Lines1243-1Parallel Lines and Transversals.126Geometry Software Investigation:Angles and Parallel

31、 Lines.1323-2Angles and Parallel Lines.133Practice Quiz 1:Lessons 3-1 and 3-2.1383-3Slopes of Lines.1393-4Equations of Lines.145Practice Quiz 2:Lessons 3-3 and 3-4.1503-5Proving Lines Parallel.151Graphing Calculator Investigation:Points of Intersection.1583-6Perpendiculars and Distance.159Geometry A

32、ctivity:Non-Euclidean Geometry.165Study Guide and Review.167Practice Test.171Standardized Test Practice.172Snapshots143Standardized Test Practice Multiple Choice 131,138,144,149,157,164,171,172 Short Response/Grid In 131,135,136,164,173 Open Ended 173Constructions151,160Study Organizer125Reading and

33、 Writing Mathematics Reading Math Tips 126 Writing in Math 130,138,144,149,157,164Prerequisite Skills Getting Started 125 Getting Ready for the Next Lesson 131,138,144,150,157Lesson 3-6,p.163Snapshots206Standardized Test Practice Multiple Choice 183,191,198,206,213,217,219,221,226,231,232 Short Response/Grid In 233 Open Ended 233Constructions200,202,207,214Study Organizer177Reading and Writing Mat