Essntls Geometry Coll Stdnts& Tutor Ctr Pkg / Edition 2

Essntls Geometry Coll Stdnts& Tutor Ctr Pkg / Edition 2

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Essntls Geometry Coll Stdnts& Tutor Ctr Pkg / Edition 2

For this second edition of an undergraduate text, Lial (American River College) has added boxes on technology connections, activities that use everyday items to explain different theorems, and chapter learning objectives. Also new are three cumulative reviews, writing exercises, and an introduction to flowchart proofs. Less emphasis is placed in this edition on developing proofs of numbered theorems. The text is designed for college students with no previous experience with plane Euclidean geometry. A background in introductory algebra and a scientific calculator are the only prerequisites. Annotation © 2004 Book News, Inc., Portland, OR

Product Details

ISBN-13: 9780321275561
Publisher: Pearson
Publication date: 02/28/2004
Edition description: New Edition

Table of Contents

(A Review and a Test conclude each chapter.)
1. Foundations of Geometry.
Logical Systems.
Points, Lines, and Planes.
Segments, Rays, and Angles.

2. Introduction to Proof.
Direct Proofs.
Proofs Involving Lines and Angles.
Constructions Involving Lines and Angles.

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

4. Parallel Lines and Polygons.
Indirect Proof and the Parallel Postulate.
Transversals and Angles.
Polygons and Angles.
Parallelograms and Rhombuses.
Rectangles, Squares, and Trapezoids.
Areas of Polygons.

5. Ratio, Proportion, and Similarity.
Ratio and Proportion.
Similar Polygons.
More Theorems on Similar Triangles.

6. Right Triangles and the Pythagorean Theorem.
Review of Radicals and Quadratic Equations (Optional).
Properties of Right Triangles.
The Pythagorean Theorem.

7. Circles.
Circles and Arcs.
Chords and Secants.
Circles and Regular Polygons.
Sectors, Arc Length, and Area.

8. Inequalities.
Involving Triangles.
Inequalities Involving Circles.

9. Solid Geometry.
Planes and the Polyhedron.
Prisms and Pyramids.
Cylinders and Cones.
Spheres and Composite Features.

10. Geometric Loci.
Locus and Basic Theorems.
Triangle Concurrency Theorems.

11. Introduction to Analytic Geometry.
The Cartesian Coordinate System.
Slope, Distance, and Midpoint Formulas.
Proofs Involving Polygons.

12. Triangle Trigonometry.
The TrigonometricRatios.
Solving Right Triangles.
Applications Involving Right Triangles.
Postulates of Geometry.
Theorems and Corollaries of Geometry.
Constructions in Geometry.

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