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Essentials of Geometry for College Students-With Access

Essentials of Geometry for College Students-With Access - 2nd edition

ISBN13: 978-0321275561

Cover of Essentials of Geometry for College Students-With Access 2ND 04 (ISBN 978-0321275561)
ISBN13: 978-0321275561
ISBN10: 032127556X
Cover type: Paperback
Edition/Copyright: 2ND 04
Publisher: Addison-Wesley Longman, Inc.
Published: 2004
International: No

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Essentials of Geometry for College Students-With Access - 2ND 04 edition

ISBN13: 978-0321275561

Margaret L. Lial and Michael J. Hernandez

ISBN13: 978-0321275561
ISBN10: 032127556X
Cover type: Paperback
Edition/Copyright: 2ND 04
Publisher: Addison-Wesley Longman, Inc.

Published: 2004
International: No
Summary

Written for students who need a refresher on Plane Euclidean Geometry, Essentials of Geometry for College Students, Second Edition, incorporates the American Mathematical Association of Two-Year Colleges (AMATYC) and National Council of Teachers of Mathematics (NCTM) Standards on geometry, modeling, reasoning, communication, technology, and deductive proof. To make learning interactive and enjoyable, this new edition includes exciting new features such as Technology Connections and Hands-on Activities. Knowledge of beginning algebra and a scientific calculator are required for this text.

Author Bio

Lial, Margaret L. : American River College


Brown, Barbara A. : Anoka Ramsey Community College


Steffenson, Arnold R. : Northern Arizona University


Johnson, L. Murphy : Northern Arizona University

Table of Contents

1. Foundations of Geometry.

Inductive and Deductive Reasoning.
Points, Lines and Planes.
Segments, Rays, and Angles.
Introduction to Deductive Proofs.
Formalizing Geometric Proofs.
Constructions Involving Lines and Angles.


2. Triangles.

Classifying Triangles.
Congruent Triangles.
Proofs Involving Congruence.
Isosceles Triangles, Medians, and Altitudes.
Proving Right Triangles Congruent.
Constructions Involving Triangles.


3. Parallel Lines and Polygons.

Indirect Proof and the Parallel Postulate.
Parallel Lines.
Polygons and Angles.
More Congruent Triangles.


4. Quadrilaterals.

Parallelograms.
Rhombus and Kite.
Rectangles and Squares.
Trapezoids.

5. Similar Polygons and the Pythagorean Theorem.

Ratio and Proportion.
Similar Polygons.
Properties of Right Triangles.
Pythagorean Theorem.
Inequalities Involving Triangles.

6. Circles.

Circles and Arcs.
Chords and Secants.
Tangents.
Circles and Regular Polygons.
Inequalities Involving Circles.

7. Areas of Polygons and Circles.

Areas of Quadrilaterals.
Circumference and Area of a Circle.
Area and Arc Length of a Sector.
Area of Regular Polygons.


8. Solid Geometry.

Planes and Polyhedrons.
Prisms.
Pyramids.
Cylinders and Cones.
Spheres and Composite Figures.


9. Analytic Geometry and Locus of Points.

The Cartesian Coordinate System.
Slope, Distance and Midpoint Formulas.
Proofs Involving Polygons.
Locus and Basic Theorems.
Triangle Concurrency Theorems.


10. Introduction to Trigonometry.

Sine and Cosine Ratio.
Tangent Ratio.
Solving Right Triangles.
Applications Involving Right Triangles.