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Elementary Geometry for College Students,
7th Edition

Daniel C. Alexander, Geralyn M. Koeberlein

ISBN-13: 9781337614085 | ISBN-10: 1337614084

Copyright 2020

| Published 2019

| 624 pages

List Price USD $249.95

Overview

ELEMENTARY GEOMETRY FOR COLLEGE STUDENTS, 7th Edition, is designed to help students develop a comprehensive vocabulary of geometry, an intuitive and inductive approach to the development of principles, and strong deductive skills to solve geometry-based real-world applications. Over 150 new exercises provide additional practice in writing proofs. Available with access to WebAssign, an online study tool that helps students master the course concepts.

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Meet the Authors

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Daniel C. Alexander is professor emeritus of mathematics at Parkland College in Champaign, Illinois. Before retiring, Professor Alexander taught mathematics at the secondary and college levels for over 40 years. He was a member and officer of IMACC, a member of AMATYC, and remains a member of ICTM. In addition to presenting and participating in panel discussions at these conferences, Professor Alexander has published numerous articles in the ICTM, NCTM and AMATYC mathematics journals. Professor Alexander holds undergraduate and graduate degrees from Southern Illinois University, and completed considerable post-graduate course work as well.

Before her retirement, Geralyn M. Koeberlein taught mathematics at Mahomet-Seymour High School in Mahomet, Illinois, for 34 years. She taught several levels of math, from Algebra I to AB Calculus, and spent the last few years of her career as chair of the Math and Science Department. After receiving her Master's Degree from the University of Illinois early in her teaching years, Geralyn continued her education by receiving over 90 hours of post-graduate credit. She is a former member of the ICTM and the NCTM.

Table of Contents

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P. Preliminary Concepts.
Sets and Geometry. Statements and Reasoning. Informal Geometry and Measurement. PERSPECTIVE ON HISTORY: Our Greek Heritage. PERSPECTIVE ON APPLICATION: ONE-TO-ONE Correspondence. Summary Review Exercises Chapter Test.
1. Line and Angle Relationships.
Early Definitions and Postulates. Angles and Their Relationships. Introduction to Geometric Proof. Relationships: Perpendicular Lines. The Formal Proof of a Theorem. PERSPECTIVE ON HISTORY: The Development of Geometry. PERSPECTIVE ON APPLICATION: Patterns. Summary Review Exercises Chapter Test.
2. Parallel Lines.
The Parallel Postulate and Special Angles. Indirect Proof. Proving Lines Parallel. The Angles of a Triangle. Convex Polygons. Symmetry and Transformations. PERSPECTIVE ON HISTORY: Sketch of Euclid. PERSPECTIVE ON APPLICATION: Non-Euclidean Geometries. Summary Review Exercises Chapter Test.
3. Triangles.
Congruent Triangles. Corresponding Parts of Congruent Triangles. Isosceles Triangles. Basic Constructions Justified. Inequalities in a Triangle. PERSPECTIVE ON HISTORY: Sketch of Archimedes. PERSPECTIVE ON APPLICATION: Pascal's Triangle. Summary Review Exercises Chapter Test.
4. Quadrilaterals.
Properties of a Parallelogram. The Parallelogram and Kite. The Rectangle, Square, and Rhombus. The Trapezoid. PERSPECTIVE ON HISTORY: Sketch of Thales. PERSPECTIVE ON APPLICATION: Square Numbers as Sums. Summary Review Exercises Chapter Test.
5. Similar Triangles.
Ratios, Rates and Proportions. Similar Polygons. Proving Triangles Similar. The Pythagorean Theory. Special Right Triangles. Segments Divided Proportionally. PERSPECTIVE ON HISTORY: Ceva's Proof. PERSPECTIVE ON APPLICATION: An Unusual Application of Similar Triangles. Summary Review Exercises Chapter Test.
6. Circles.
Circles and Related Segments and Angles. More Angle Measures in the Circle. Line and Segment Relationships in the Circle. Some Construction and Inequalities in the Circle. PERSPECTIVE ON HISTORY: Circumference of the Earth. PERSPECTIVE ON APPLICATION: Sum of the Interior Angles of a Polygon. Summary Review Exercises Chapter Test.
7. Locus and Concurrence.
Locus of Points. Concurrence of Lines. More About Regular Polygons. PERSPECTIVE ON HISTORY: The Value of π (Pi). PERSPECTIVE ON APPLICATION: The Nine-Point Circle. Summary Review Exercises Chapter Test.
8. Areas of Polygons and Circles.
Areas and Initial Postulates. Perimeter and Area of Polygons. Regular Polygons and Area. Circumference and Area of a Circle. More Area Relationships in the Circle. PERSPECTIVE ON HISTORY: Sketch of Pythagoras. PERSPECTIVE ON APPLICATION: Another Look at the Pythagorean Theorem. Summary Review Exercises Chapter Test.
9. Surfaces and Solids.
Prisms, Area, and Volume. Pyramids, Area, and Volume. Cylinders and Cones. Polyhedrons and Spheres. PERSPECTIVE ON HISTORY: Sketch of René Descartes. PERSPECTIVE ON APPLICATION: Birds in Flight. Summary Review Exercises Chapter Test.
10. Analytical Geometry.
The Rectangular Coordinate System. Graphs of Linear Equations and Slope. Preparing to do Analytic Proofs. Analytic Proofs. Equations of Lines. A Three-Dimensional Coordinate System. PERSPECTIVE ON HISTORY: The Banach-Tarski Paradox. PERSPECTIVE ON APPLICATION: The Point-of-Division Formulas. Summary Review Exercises Chapter Test.
11. Introduction to Trigonometry.
The Sine Ratio and Applications. The Cosine Ratio and Applications. The Tangent Ratio and Other Ratios. Applications with Acute Triangles. PERSPECTIVE ON HISTORY: Sketch of Plato. PERSPECTIVE ON APPLICATION: Radian Measure of Angles. Summary Review Exercises Chapter Test.
Appendix A: Algebra Review.
Appendix B: Summaries of Constructions, Postulates, Theorems, and Corollaries
Answers.
Glossary.
Index.

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

Student Study Guide with Solutions Manual for Alexander/Koeberlein's Elementary Geometry for College Students

ISBN13:9780357022122
ISBN10:0357022122
The Student Study Guide with Solutions Manual provides additional practice problems for each section with solutions, as well as solutions to select odd-numbered problems from the text, along with section-by-section objectives.

Cengage Testing, powered by Cognero® for Alexander/Koeberlein's Elementary Geometry for College Students, Instant Access

ISBN13:9780357022146
ISBN10:0357022149
Cengage Testing, powered by Cognero, is a flexible, online system that allows you to import, edit and manipulate content from the text’s test bank or elsewhere, including your own favorite test questions; create multiple test versions in an instant; and deliver tests from your LMS, your classroom or wherever you want.

Complete Solutions Manual for Alexander/Koeberlein's Elementary Geometry for College Students, 7th

ISBN13:9780357022214
ISBN10:0357022211
This time-saving manual provides complete solutions to all the problems in the text.

PowerPoint Presentation Slides for Alexander/Koeberlein's Elementary Geometry for College Students, 7th

ISBN13:9780357022221
ISBN10:035702222X
These Microsoft PowerPoint lecture slides assist you with your lecture by providing section-by-section images, examples, and lecture notes for the book.

Cengage Testing, powered by Cognero® for Alexander/Koeberlein's Elementary Geometry for College Students

ISBN13:9780357747308
ISBN10:0357747305

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Elementary Geometry for College Students

  • ISBN-10: 1337614084
  • ISBN-13: 9781337614085

Price USD$ 249.95

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