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Solution Manual For Elementary Geometry for College Students, 6th Edition Chapter 1-11

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Instructor’s Solutions Manual


Elementary Geometry for
College Students
SIXTH EDITION

Daniel Alexander
Parkland College, Professor Emeritus


Geralyn M. Koeberlein
Mahomet-Seymour High School, Mathematics Department Chair, Retired




Prepared by

Geralyn M. Koeberlein
Mahomet-Seymour High School, Mathematics Department Chair, Retired



Daniel Alexander
Parkland College, Professor Emeritus




Australia • Brazil • Mexico • Singapore • United Kingdom • United States

, © 2015 Cengage Learning ISBN-13: 978-1-305-08536-7
ISBN-10: 1-305-08563-1
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OR OTHERWISE REDISTRIBUTED EXCEPT AS MAY BE PERMITTED BY THE LICENSE TERMS HEREIN.


READ IMPORTANT LICENSE INFORMATION

Dear Professor or Other Supplement Recipient: any portion of the Supplement to any third party. You may not
sell, license, auction, or otherwise redistribute the Supplement in
Cengage Learning has provided you with this product (the any form. We ask that you take reasonable steps to protect the
“Supplement”) for your review and, to the extent that you adopt Supplement from unauthorized use, reproduction, or distribution.
the associated textbook for use in connection with your course Your use of the Supplement indicates your acceptance of the
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Learning has established these use limitations in response to days of receipt.
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Printed in the United States of America
1 2 3 4 5 6 7 17 16 15 14 13

, Contents

Suggestions for Course Design iv

Chapter-by-Chapter Commentary v

Solutions

Chapter 1 Line and Angle Relationships 1

Chapter 2 Parallel Lines 22

Chapter 3 Triangles 49

Chapter 4 Quadrilaterals 73

Chapter 5 Similar Triangles 99

Chapter 6 Circles 133

Chapter 7 Locus and Concurrence 156

Chapter 8 Areas of Polygons and Circles 172

Chapter 9 Surfaces and Solids 205

Chapter 10 Analytic Geometry 228

Chapter 11 Introduction to Trigonometry 270

Appendix A Algebra Review 291




iii
© 2015 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as
permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

, Suggestions for Course Design


The authors believe that this textbook would be appropriate for a 3-hour, 4-hour, or 5-hour
course. Some instructors may choose to include all or part of Appendix A (Algebra Review)
due to their students’ background in algebra. There may also be a desire to include The
Introduction to Logic, found at our website, as a portion of the course requirement. Inclusion
of some laboratory work with a geometry package such as Geometry Sketchpad is an option
for course work.


3-hour course
Include most of Chapters 1–8. Optional sections could include:
Section 2.2 Indirect Proof
Section 2.3 Proving Lines Parallel
Section 2.6 Symmetry and Transformations
Section 3.5 Inequalities in a Triangle
Section 6.4 Some Constructions and Inequalities for the Circle
Section 8.5 More Area Relationships in the Circle




4-hour course
Include most of Chapters 1–8 and include all/part of at least one of
these chapters:
Chapter 9 Surfaces and Solids (Solid Geometry)
Chapter 10 Analytic Geometry (Coordinate Geometry)
Chapter 11 Introduction to Trigonometry


5-hour course
Include most of Chapters 1–11 as well as topics desired from Appendix A and/or
The Introduction to Logic (see website).




Daniel C. Alexander
Geralyn M. Koeberlein



iv
© 2015 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as
permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

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