Essentials of Geometry for College Students
2nd Edition
Published on 30. April 2004
Book
Paperback/Softback
568 pages
978-0-201-74882-6 (ISBN)
Description
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.
More details
Edition
2nd edition
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Height: 210 mm
Width: 240 mm
Thickness: 24 mm
Weight
1134 gr
ISBN-13
978-0-201-74882-6 (9780201748826)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Previous edition
Margaret L. Lial | Arnold R. Steffensen | L. Murphy Johnson
Essentials of Geometry for College Students
Book
10/1989
Pearson
€73.03
Article exhausted; check for reprint
Content
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.
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.