9780201748826

Essentials of Geometry for College Students

by ; ; ;
  • ISBN13:

    9780201748826

  • ISBN10:

    0201748827

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 11/17/2003
  • Publisher: Pearson

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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.

Table of Contents

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
Triangles
Classifying Triangles
Congruent Triangles
Proofs Involving Congruence
Isosceles Triangles, Medians, and Altitudes
Proving Right Triangles Congruent
Constructions Involving Triangles
Parallel Lines and Polygons
Indirect Proof and the Parallel Postulate
Parallel Lines
Polygons and Angles
More Congruent Triangles
Quadrilaterals
Parallelograms
Rhombus and Kite
Rectangles and Squares
Trapezoids
Similar Polygons and the Pythagorean Theorem
Ratio and Proportion
Similar Polygons
Properties of Right Triangles
Pythagorean Theorem
Inequalities Involving Triangles
Circles
Circles and Arcs
Chords and Secants
Tangents
Circles and Regular Polygons
Inequalities Involving Circles
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
Solid Geometry
Planes and Polyhedrons
Prisms
Pyramids
Cylinders and Cones
Spheres and Composite Figures
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
Introduction to Trigonometry
Sine and Cosine Ratio
Tangent Ratio
Solving Right Triangles
Applications Involving Right Triangles
Table of Contents provided by Publisher. All Rights Reserved.

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