Transcription

GeometryChapter 10Resource Masters

Consumable WorkbooksMany of the worksheets contained in the Chapter Resource Masters bookletsare available as consumable workbooks.Study Guide and Intervention WorkbookSkills Practice WorkbookPractice WorkbookReading to Learn Mathematics 7-861061-3ANSWERS FOR WORKBOOKS The answers for Chapter 10 of these workbookscan be found in the back of this Chapter Resource Masters booklet.Copyright by The McGraw-Hill Companies, Inc. All rights reserved.Printed in the United States of America. Permission is granted to reproduce thematerial contained herein on the condition that such material be reproduced onlyfor classroom use; be provided to students, teachers, and families without charge;and be used solely in conjunction with Glencoe’s Geometry. Any other reproduction,for use or sale, is prohibited without prior written permission of the publisher.Send all inquiries to:The McGraw-Hill Companies8787 Orion PlaceColumbus, OH 43240-4027ISBN: 0-07-860187-81 2 3 4 5 6 7 8 9 10 009 11 10 09 08 07 06 05 04 03GeometryChapter 10 Resource Masters

ContentsVocabulary Builder . . . . . . . . . . . . . . . . viiLesson 10-6Proof Builder . . . . . . . . . . . . . . . . . . . . . . ixStudy Guide and Intervention . . . . . . . . 571–572Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 573Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 574Reading to Learn Mathematics . . . . . . . . . . 575Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 576Lesson 10-1Study Guide and Intervention . . . . . . . . 541–542Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 543Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 544Reading to Learn Mathematics . . . . . . . . . . 545Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 546Lesson 10-7Study Guide and Intervention . . . . . . . . 577–578Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 579Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 580Reading to Learn Mathematics . . . . . . . . . . 581Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 582Lesson 10-2Study Guide and Intervention . . . . . . . . 547–548Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 549Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 550Reading to Learn Mathematics . . . . . . . . . . 551Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 552Lesson 10-8Study Guide and Intervention . . . . . . . . 583–584Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 585Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 586Reading to Learn Mathematics . . . . . . . . . . 587Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 588Lesson 10-3Study Guide and Intervention . . . . . . . . 553–554Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 555Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 556Reading to Learn Mathematics . . . . . . . . . . 557Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 558Chapter 10 AssessmentChapter 10 Test, Form 1 . . . . . . . . . . . 589–590Chapter 10 Test, Form 2A . . . . . . . . . . 591–592Chapter 10 Test, Form 2B . . . . . . . . . . 593–594Chapter 10 Test, Form 2C . . . . . . . . . . 595–596Chapter 10 Test, Form 2D . . . . . . . . . . 597–598Chapter 10 Test, Form 3 . . . . . . . . . . . 599–600Chapter 10 Open-Ended Assessment . . . . . 601Chapter 10 Vocabulary Test/Review . . . . . . 602Chapter 10 Quizzes 1 & 2 . . . . . . . . . . . . . . 603Chapter 10 Quizzes 3 & 4 . . . . . . . . . . . . . . 604Chapter 10 Mid-Chapter Test . . . . . . . . . . . . 605Chapter 10 Cumulative Review . . . . . . . . . . 606Chapter 10 Standardized Test Practice 607–608Unit 3 Test/Review (Ch. 8–10) . . . . . . . 609–610Lesson 10-4Study Guide and Intervention . . . . . . . . 559–560Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 561Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 562Reading to Learn Mathematics . . . . . . . . . . 563Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 564Lesson 10-5Study Guide and Intervention . . . . . . . . 565–566Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 567Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 568Reading to Learn Mathematics . . . . . . . . . . 569Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 570Standardized Test PracticeStudent Recording Sheet . . . . . . . . . . . . . . A1ANSWERS . . . . . . . . . . . . . . . . . . . . . . A2–A36 Glencoe/McGraw-HilliiiGlencoe Geometry

Teacher’s Guide to Using theChapter 10 Resource MastersThe Fast File Chapter Resource system allows you to conveniently file the resourcesyou use most often. The Chapter 10 Resource Masters includes the core materialsneeded for Chapter 10. These materials include worksheets, extensions, andassessment options. The answers for these pages appear at the back of this booklet.All of the materials found in this booklet are included for viewing and printing in theGeometry TeacherWorks CD-ROM.Vocabulary Builder Pages vii–viiiinclude a student study tool that presentsup to twenty of the key vocabulary termsfrom the chapter. Students are to recorddefinitions and/or examples for each term.You may suggest that students highlight orstar the terms with which they are notfamiliar.Skills PracticeWHEN TO USE Give these pages tostudents before beginning Lesson 10-1.Encourage them to add these pages to theirGeometry Study Notebook. Remind them toadd definitions and examples as theycomplete each lesson.PracticeThere is one master foreach lesson. These provide computationalpractice at a basic level.WHEN TO USE These masters can beused with students who have weakermathematics backgrounds or needadditional reinforcement.There is one master for eachlesson. These problems more closely followthe structure of the Practice and Applysection of the Student Edition exercises.These exercises are of average difficulty.WHEN TO USE These provide additionalpractice options or may be used ashomework for second day teaching of thelesson.Vocabulary Builder Pages ix–xinclude another student study tool thatpresents up to fourteen of the key theoremsand postulates from the chapter. Studentsare to write each theorem or postulate intheir own words, including illustrations ifthey choose to do so. You may suggest thatstudents highlight or star the theorems orpostulates with which they are not familiar.Reading to Learn MathematicsOne master is included for each lesson. Thefirst section of each master asks questionsabout the opening paragraph of the lessonin the Student Edition. Additionalquestions ask students to interpret thecontext of and relationships among termsin the lesson. Finally, students are asked tosummarize what they have learned usingvarious representation techniques.WHEN TO USE Give these pages tostudents before beginning Lesson 10-1.Encourage them to add these pages to theirGeometry Study Notebook. Remind them toupdate it as they complete each lesson.WHEN TO USE This master can be usedas a study tool when presenting the lessonor as an informal reading assessment afterpresenting the lesson. It is also a helpfultool for ELL (English Language Learner)students.Study Guide and InterventionEach lesson in Geometry addresses twoobjectives. There is one Study Guide andIntervention master for each objective.WHEN TO USE Use these masters asreteaching activities for students who needadditional reinforcement. These pages canalso be used in conjunction with the StudentEdition as an instructional tool for studentswho have been absent. Glencoe/McGraw-HillivGlencoe Geometry

A Vocabulary Test, suitable for allstudents, includes a list of the vocabularywords in the chapter and ten questionsassessing students’ knowledge of thoseterms. This can also be used in conjunction with one of the chapter tests or as areview worksheet.EnrichmentThere is one extensionmaster for each lesson. These activities mayextend the concepts in the lesson, offer anhistorical or multicultural look at theconcepts, or widen students’ perspectives onthe mathematics they are learning. Theseare not written exclusively for honorsstudents, but are accessible for use with alllevels of students.Intermediate Assessment Four free-response quizzes are includedto offer assessment at appropriateintervals in the chapter.WHEN TO USE These may be used asextra credit, short-term projects, or asactivities for days when class periods areshortened. A Mid-Chapter Test provides an optionto assess the first half of the chapter. It iscomposed of both multiple-choice andfree-response questions.Assessment OptionsThe assessment masters in the Chapter 10Resources Masters offer a wide range ofassessment tools for intermediate and finalassessment. The following lists describe eachassessment master and its intended use.Continuing Assessment The Cumulative Review providesstudents an opportunity to reinforce andretain skills as they proceed throughtheir study of Geometry. It can also beused as a test. This master includesfree-response questions.Chapter AssessmentCHAPTER TESTS The Standardized Test Practice offerscontinuing review of geometry conceptsin various formats, which may appear onthe standardized tests that they mayencounter. This practice includes multiplechoice, grid-in, and short-responsequestions. Bubble-in and grid-in answersections are provided on the master. Form 1 contains multiple-choice questionsand is intended for use with basic levelstudents. Forms 2A and 2B contain multiple-choicequestions aimed at the average levelstudent. These tests are similar in formatto offer comparable testing situations. Forms 2C and 2D are composed of freeresponse questions aimed at the averagelevel student. These tests are similar informat to offer comparable testingsituations. Grids with axes are providedfor questions assessing graphing skills.Answers Page A1 is an answer sheet for theStandardized Test Practice questionsthat appear in the Student Edition onpages 588–589. This improves students’familiarity with the answer formats theymay encounter in test taking. Form 3 is an advanced level test withfree-response questions. Grids withoutaxes are provided for questions assessinggraphing skills. The answers for the lesson-by-lessonmasters are provided as reduced pageswith answers appearing in red.All of the above tests include a freeresponse Bonus question. Full-size answer keys are provided forthe assessment masters in this booklet. The Open-Ended Assessment includesperformance assessment tasks that aresuitable for all students. A scoring rubricis included for evaluation guidelines.Sample answers are provided forassessment. Glencoe/McGraw-HillvGlencoe Geometry

NAME DATEPERIODReading to Learn Mathematics10This is an alphabetical list of the key vocabulary terms you will learn inChapter 10. As you study the chapter, complete each term’s definition or description.Remember to add the page number where you found the term. Add these pages toyour Geometry Study Notebook to review vocabulary at the end of the chapter.Vocabulary TermFoundon PageDefinition/Description/Examplecentercentral inscribed(continued on the next page) Glencoe/McGraw-HillviiGlencoe GeometryVocabulary BuilderVocabulary Builder

NAME DATEPERIODReading to Learn Mathematics10Vocabulary BuilderVocabulary Term(continued)Foundon PageDefinition/Description/Exampleinterceptedmajor arcminor arcpi (!)point of tangencyradiussecantssemicircletangent Glencoe/McGraw-HillviiiGlencoe Geometry

NAME DATE10PERIODLearning to Read MathematicsThis is a list of key theorems and postulates you will learn in Chapter 10. As youstudy the chapter, write each theorem or postulate in your own words. Includeillustrations as appropriate. Remember to include the page number where youfound the theorem or postulate. Add this page to your Geometry Study Notebookso you can review the theorems and postulates at the end of the chapter.Theorem or PostulateFoundon PageDescription/Illustration/AbbreviationTheorem 10.1Theorem 10.2Theorem 10.3Theorem 10.4Theorem 10.5Theorem 10.6Theorem 10.7(continued on the next page) Glencoe/McGraw-HillixGlencoe GeometryProof BuilderProof Builder

NAME DATE10PERIODLearning to Read MathematicsProof BuilderTheorem or Postulate(continued)Foundon PageDescription/Illustration/AbbreviationTheorem 10.8Theorem 10.9Theorem 10.11Theorem 10.12Theorem 10.13Theorem 10.14Theorem 10.15 Glencoe/McGraw-HillxGlencoe Geometry

NAME DATEPERIOD10-1 Study Guide and InterventionCircles and CircumferenceParts of CirclesA circle consists of all points in a plane that are agiven distance, called the radius, from a given point called the center. A segment with endpoints that are the center of the circle anda point of the circle is a radius. A segment with endpoints that lie on the circle is a chord. A chord that contains the circle’s center is a diameter.BEFDCchord: A!E!, B!D!radius: F!B!, F!C!, F!D!diameter: B!D!Examplea. Name the circle.The name of the circle is !O.OAb. Name radii of the circle.!OA!, B!O!, C!O!, and D!O! are radii.BCDc. Name chords of the circle.!BA! and C!D! are chords.d. Name a diameter of the circle.!BA! is a diameter.Exercises1. Name the circle.AXR2. Name radii of the circle.Y3. Name chords of the circle.B4. Name diameters of the circle.5. Find AR if AB is 18 millimeters.6. Find AR and AB if RY is 10 inches.7. Is A!B!"X!Y! ? Explain. Glencoe/McGraw-Hill541Glencoe GeometryLesson 10-1A segment or line can intersect a circle in several ways.A

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Glencoe/McGraw-Hill iv Glencoe Geometry Teacher’s Guide to Using the Chapter 10 Resource Masters The Fast File Chapter Resource system allows you to conveniently file the resources you use most often. The Chapter 10 Resource Masters includes the core materials needed for Chapter 10.