##### Easy Way Series: E-Z Geometry

Editor/Author Leff, Lawrence S.
Publication Year: 2009
Publisher: Barron's Educational Series

Price: Core Collection Only
ISBN: 978-0-76-413918-5
Category: Mathematics & Statistics - Mathematics
Image Count: 680
Book Status: Available
Table of Contents

E-Z Geometry covers the "how" and "why" of geometry, with examples, exercises, and solutions throughout, plus hundreds of drawings, graphs, and tables.

### This book is found in the following Credo Collections:

#### Table of Contents

• Preface
• 1 Building a Geometry Vocabulary
• The Building Blocks of Geometry
• Definitions and Postulates
• Inductive Versus Deductive Reasoning
• The IF ... THEN ... Sentence Structure
• Review Exercises for Chapter 1
• 2 Measure and Congruence
• Measuring Segments and Angles
• Betweenness of Points and Rays
• Congruence
• Midpoint and Bisector
• Diagrams and Drawing Conclusions
• Properties of Equality and Congruence
• Additional Properties of Equality
• The Two-Column Proof Format
• Review Exercises for Chapter 2
• 3 Angle Pairs and Perpendicular Lines
• Supplementary and Complementary Angle Pairs
• Adjacent and Vertical Angle Pairs
• Theorems Relating to Complementary, Supplementary, and Vertical Angles
• Definitions and Theorems Relating to Right Angles and Perpendiculars
• A Word About the Format of a Proof
• Review Exercises for Chapter 3
• 4 Parallel Lines
• Planes and Lines
• Properties of Parallel Lines
• Converses and Methods of Proving Lines Parallel
• The Parallel Postulate
• Review Exercises for Chapter 4
• 5 Angles of a Polygon
• The Anatomy of a Polygon
• Angles of a Triangle
• Exterior Angles of a Triangle
• Angles of a Polygon
• Review Exercises for Chapter 5
• 6 Proving Triangles Are Congruent
• Correspondences and Congruent Triangles
• Proving Triangles Congruent: SSS, SAS, and ASA Postulates
• Proving Overlapping Triangles Congruent
• Proving Triangles Congruent: AAS and Hy-Leg Methods
• When Two Triangles Are NOT Congruent
• Review Exercises for Chapter 6
• 7 Applying Congruent Triangles
• Using Congruent Triangles to Prove Segments and Angles Congruent
• Using Congruent Triangles to Prove Special Properties of Lines
• Classifying Triangles and Special Segments
• The Isosceles Triangle
• Double Congruence Proofs
• Review Exercises for Chapter 7
• Cumulative Review Exercises: Chapters 1-7
• 8 Geometric Inequalities
• Some Basic Properties of Inequalities
• Inequality Relationships in a Triangle
• The Indirect Method of Proof
• Review Exercises for Chapter 8
• 9 Special Quadrilaterals
• Classifying Quadrilaterals
• Properties of a Parallelogram
• Properties of Special Parallelograms
• Proving a Quadrilateral Is a Parallelogram
• Applications of Parallelograms
• Properties of a Trapezoid
• Review Exercises for Chapter 9
• 10 Ratio, Proportion, and Similarity
• Ratio and Proportion
• Proportions in a Triangle
• When Are Polygons Similar?
• Proving Triangles Similar
• Proving Lengths of Sides of Similar Triangles in Proportion
• Proving Products of Segment Lengths Equal
• Review Exercises for Chapter 10
• 11 The Right Triangle
• Proportions in a Right Triangle
• The Pythagorean Theorem
• Special Right-Triangle Relationships
• Trigonometric Ratios
• Indirect Measurement in a Right Triangle
• Review Exercises for Chapter 11
• Cumulative Review Exercises: Chapters 8-11
• 12 Circles and Angle Measurement
• The Parts of a Circle
• Arcs and Central Angles
• Diameters and Chords
• Tangents and Secants
• Angle Measurement: Vertex on the Circle
• Angle Measurement: Vertex in the Interior of the Circle
• Angle Measurement: Vertex in the Exterior of the Circle
• Using Angle-Measurement Theorems
• Review Exercises for Chapter 12
• 13 Chord, Tangent, and Secant Segments
• Equidistant Chords
• Tangents and Circles
• Similar Triangles and Circles
• Tangent- and Secant-Segment Relationships
• Circumference and Arc Length
• Review Exercises for Chapter 13
• 14 Area and Volume
• Areas of a Rectangle, Square, and Parallelogram
• Areas of a Triangle and Trapezoid
• Comparing Areas
• Area of a Regular Polygon
• Areas of a Circle, Sector, and Segment
• Geometric Solids
• Review Exercises for Chapter 14
• 15 Coordinate Geometry
• The Coordinate Plane
• Finding Area Using Coordinates
• The Midpoint and Distance Formulas
• Slope of a Line
• Equation of a Line
• Equation of a Circle
• Proofs Using Coordinates
• Review Exercises for Chapter 15
• 16 Locus and Constructions
• Describing Points That Fit One Condition
• Describing Points That Fit More Than One Condition
• Locus and Coordinates
• Basic Constructions
• Review Exercises for Chapter 16
• 17 Transformation Geometry
• Terms and Notation
• Congruence Transformations
• Classifying Isometries
• Size Transformations
• Types of Symmetry
• Transformations in the Coordinate Plane
• Composing Transformations
• Review Exercises for Chapter 17
• Cumulative Review Exercises: Chapters 12-17
• Some Geometric Relationships and Formulas Worth Remembering
• Glossary
• Answers to Chapter Exercises
• Solutions to Cumulative Review Exercises