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Geometry: Fundamental Concepts and Applications

By Alan Bass

Published by Pearson

Published Date: Apr 19, 2007

Description

This Geometry workbook makes the fundamental concepts of geometry accessible and interesting for college students and incorporates a variety of basic algebra skills in order to show the connection between Geometry and Algebra.

 

Topics include:

 

A Brief History of Geometry

 

1. Basic Geometry Concepts

2. More about Angles

3. Triangles

4. More about Triangles: Similarity and Congruence

5. Quadrilaterals

6. Polygons

7. Area and Perimeter

8. Circles

9. Volume and Surface Area

10. Basic Trigonometry

Table of Contents

H. A Brief History of Geometry

 

1. Basic Geometry Concepts

  • An Overview of this Supplement
  • Points, Lines, and Planes
  • Between Points
  • Congruent Objects and Bisectors
  • Solving Word Problems in Geometry
  • Construction Example:  Using a Straight-Edge and Compass to Bisect a Line Segment
  • Geometry Project #1: The History of Geometry

 2. More about Angles

  • Measuring and Classifying Angles
  • Notation for Angle Measure and Congruence
  • Common Relationships Between Angles
  • Complementary and Supplementary
  • Parallel Lines Cut by a Transversal
  • Construction Example: Using a Straight Edge and Compass to Bisect an Angle
  • Geometry Project #2: Proofs in Geometry

 3. Triangles

  • The Practical Nature of Triangles
  • Classifying Triangles
  • The Angles of a Triangle
  • Right Triangles: The Pythagorean Theorem
  • Comparing the Sides and Angles of a Triangle
  • Geometry Project #3:  Proofs in Geometry

 4. More about Triangles: Similarity and Congruence

  • Congruent Triangles
  • Congruence Theorems
  • Similar Triangles
  • Special Right Triangles
  • Geometry Project #4: Finding the Height of a Building

 5. Quadrilaterals

  • Classifying Quadrilaterals
  • The Angles of a Quadrilateral
  • Diagonals
  • Geometry Project #5:  Quadrilaterals and Bisectors

 6. Polygons

  • Identifying and Classifying Polygons
  • Theorems about Polygons
  • Geometry Project #6:  The Area of a Regular Hexagon

 7. Area and Perimeter

  • Perimeter
  • Area
  • Derived Area Formulas
  • More Complex Shapes
  • Geometry Project #7:  Your Dream House

 8. Circles

  • Definitions and Terminology
  • Area and Circumference
  • Arc Length and Sectors
  • Geometry Project #8: Proofs in Geometry

 9. Volume and Surface Area

  • Volume Formulas for the Cube, Rectangular Solid, Cylinder, and Prism
  • The Sphere
  • Cones and Pyramids
  • Surface Area
  • Geometry Project #9:  Approximating Volumes

 10. Basic Trigonometry

  • Terminology Associated With Ratios in a Right Triangle
  • Finding Unknown Values
  • Trigonometric Ratio Values for Special Triangles
  • Geometry Project #10: Trig Meets World

Additional Course Materials

Basic Math Review Card, 2nd Edition

ISBN-13: 978-0-321-39476-7

$6.00 $5.70 | Add to Cart

Graphing Calculator Reference Card, 3rd Edition

ISBN-13: 978-0-321-39475-0

$6.00 $5.70 | Add to Cart

This title is also sold in the various packages listed below. Before purchasing one of these packages, speak with your professor about which one will help you be successful in your course.

Package ISBN-13: 9780134385211

Includes this title packaged with:

  • Beginning and Intermediate Algebra with Applications & Visualization, 3rd Edition
    Gary K. Rockswold, Terry A. Krieger
  • Beginning and Intermediate Algebra with Applications & Visualization MyLab Math Update -- Sticker
    Gary K. Rockswold, Terry A. Krieger
  • MyLab Math -- Glue-in Access Card, 2nd Edition
    Pearson Education, . . Pearson Education

$259.99 $246.99 | Add to Cart

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Geometry: Fundamental Concepts and Applications

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$19.99 $18.99 | ISBN-13: 978-0-321-47331-8

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