Elementary Geometry For College Students

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  • Edition: 5th
  • Format: Hardcover
  • Copyright: 2010-01-01
  • Publisher: Brooks Cole
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Building on the success of its first four editions, the Fifth Edition of this market-leading text covers the important principles and real-world applications of plane geometry, with a new chapter on locus and concurrence and by adding 150-200 new problems including 90 designed to be more rigorous. Strongly influenced by both NCTM and AMATYC standards, the text takes an inductive approach that includes integrated activities and tools to promote hands-on application and discovery.

Table of Contents

Line and Angle Relationships
Sets, Statements, and Reasoning
Informal Geometry and Measurement
Early Definitions and Postulates
Angles and Their Relationships
Introduction to Geometric Proof
Relationships: Perpendicular Lines
The Formal Proof of a Theorem
Perspective on History: The Development of Geometry
Perspective on Application: Patterns
Parallel Lines
The Parallel Postulate and Special Angles
Indirect Proof
Proving Lines Parallel
The Angles of a Triangle
Convex Polygons
Symmetry and Transformations
Perspective on History: Sketch of Euclid
Perspective on Application: Non-Euclidean Geometries
Congruent Triangles
Corresponding Parts of Congruent Triangles
Isosceles Triangles
Basic Constructions Justified
Inequalities in a Triangle
Perspective on History: Sketch of Archimedes
Perspective on Application: Pascal's Triangle
Properties of a Parallelogram
The Parallelogram and Kite
The Rectangle, Square, and Rhombus
The Trapezoid
Perspective on History: Sketch of Thales
Perspective on Application: Square Numbers as Sums
Similar Triangles
Ratios, Rates, and Proportions
Similar Polygons
Proving Triangles Similar
The Pythagorean Theorem
Special Right Triangles
Segments Divided Proportionally
Perspective on History: Ceva's Theorem
Perspective on Application: An Unusual Application of Similar Triangles
Circles and Related Segments and Angles
More Angle Measures in the Circle
Line and Segment Relationships in the Circle
Some Constructions and Inequalities for the Circle
Perspective on History: Circumference of the Earth
Perspective on Application: Sum of the Interior Angles of a Polygon
Locus and Concurrence
Locus of Points
Concurrence of Lines
More About Regular Polygons
Perspective on History: The Value of Perspective on Application: The Nine-Point Circle
Areas of Polygons and Circles
Area and Initial Postulates
Perimeter and Area of Polygons
Regular Polygons and Area
Circumference and Area of a Circle
More Area Relationships in the Circle
Perspective on History: Sketch of Pythagoras
Perspective on Application: Another Look at the Pythagorean Theorem
Surfaces and Solids
Prisms, Area, and Volume
Pyramids, Area, and Volume
Cylinders and Cones
Polyhedrons and Spheres
Perspective on History: Sketch of Rene Descartes
Perspective on Application: Birds in Flight
Analytic Geometry
The Rectangular Coordinate System
Graphs of Linear Equations and Slope
Preparing to do Analytic Proofs
Analytic Proofs
Equations of Lines
Perspective on History: The Banach-Tarski Paradox
Perspective on Application: The Point-of-Division Formulas
Introduction to Trigonometry
The Sine Ratio and Applications
The Cosine Ratio and Applications
The Tangent Ratio and Other Ratios
Applications with Acute Triangles.
Perspective on History: Sketch of Plato
Perspective on Application: Radian Measure of Angles
Algebra review
Summary of Constructions, Postulates, and Theorems and Corollaries
Table of Contents provided by Publisher. All Rights Reserved.

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