Geometry, 1st edition
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Overview
Geometry gives you a solid foundation in Euclidean geometry, regardless of your previous experience in geometry. Focused on your success, the author is known for a clear, accessible writing style and for providing innovative resources supporting your mastery of the material.
Published by Pearson (July 14th 2021)  Copyright © 2016
ISBN13: 9780137554850
Subject: Geometry
Category: Introductory Geometry
Table of contents
Table of Contents
 A Beginning of Geometry
 1.1 Tips for Success in Mathematics
 1.2 Geometry–A Mathematical System
 1.3 Points, Lines, and Planes
 1.4 Segments and Their Measure
 1.5 Angles and Their Measure
 1.6 Angle Pairs and Their Relationships
 1.7 Coordinate Geometry–Midpoint and Distance Formulas
 1.8 Constructions–Basic Geometry Constructions
 Introduction to Reasoning and Proofs
 2.1 Perimeter, Circumference, and Area
 2.2 Patterns and Inductive Reasoning
 2.3 Conditional Statements
 2.4 Biconditional Statements and Definitions
 2.5 Deductive Reasoning
 2.6 Reviewing Properties of Equality and Writing TwoColumn Proofs
 2.7 Proving Theorems About Angles
 Parallel and Perpendicular Lines
 3.1 Lines and Angles
 3.2 Proving Lines Are Parallel
 3.3 Parallel Lines and Angles Formed by Transversals
 3.4 Proving Theorems About Parallel and Perpendicular Lines
 3.5 Constructions–Parallel and Perpendicular Lines
 3.6 Coordinate Geometry–The Slope of a Line
 3.7 Coordinate Geometry–Equations of Lines
 Triangles and Congruence
 4.1 Types of Triangles
 4.2 Congruent Figures
 4.3 Congruent Triangles by SSS and SAS
 4.4 Congruent Triangles by ASA and AAS
 4.5 Proofs Using Congruent Triangles
 4.6 Isosceles, Equilateral, and Right Triangles
 Special Properties of Triangles
 5.1 Perpendicular and Angle Bisectors
 5.2 Bisectors of a Triangle
 5.3 Medians and Altitudes of a Triangle
 5.4 Midsegments of Triangles
 5.5 Indirect Proofs and Inequalities in One Triangle
 5.6 Inequalities in Two Triangles
 Quadrilaterals
 6.1 Polygons
 6.2 Parallelograms
 6.3 Proving that a Quadrilateral Is a Parallelogram
 6.4 Rhombuses, Rectangles, and Squares
 6.5 Trapezoids and Kites
 Similarity
 7.1 Ratios and Proportions
 7.2 Proportion Properties and Problem Solving
 7.3 Similar Polygons
 7.4 Proving Triangles Are Similar
 7.5 Geometric Mean and Similarity in Right Triangles
 7.6 Additional Proportions in Triangles
 Transformations
 8.1 Rigid Transformations
 8.2 Translations
 8.3 Reflections
 8.4 Rotations
 8.5 Dilations
 8.6 Compositions of Reflections
 Extension–Frieze Patterns
 Right Triangles and Trigonometry
 9.1 The Pythagorean Theorem and Its Converse
 9.2 Special Right Triangles
 9.3 Trigonometric Ratios
 9.4 Solving Right Triangles
 9.5 Vectors
 Extension–Law of Sines
 Extension–Law of Cosines
 Area
 10.1 Angle Measures of Polygons and Regular Polygon Tessellations
 10.2 Areas of Triangles and Quadrilaterals with a Review of Perimeter
 10.3 Areas of Regular Polygons
 10.4 Perimeters and Areas of Similar Figures
 10.5 Arc Measures, Circumferences, and Arc Lengths of Circles
 10.6 Areas of Circles and Sectors
 10.7 Geometric Probability
 Surface Area and Volume
 11.1 Solids and Cross Sections
 11.2 Surface Areas of Prisms and Cylinders
 11.3 Surface Areas of Pyramids and Cones
 11.4 Volumes of Prisms and Cylinders and Cavalieri’s Principle
 11.5 Volumes of Pyramids and Cones
 11.6 Surface Areas and Volumes of Spheres
 11.7 Areas and Volumes of Similar Solids
 Circles and Other Conic Sections
 12.1 Circle Review and Tangent Lines
 12.2 Chords and Arcs
 12.3 Inscribed Angles
 12.4 Additional Angle Measures and Segment Lengths
 12.5 Coordinate Plane–Circles
 12.6 Locus
 Extension–Parabolas
Student Success Resource Section
A Review of Basic Concepts
 A.1 Measurement Conversions
 A.2 Probability
 A.3 Exponents, Order of Operations, and Variable Expressions
 A.4 Operations on Real Numbers
 A.5 Simplifying Expressions
 A.6 Solving Linear Equations
 A.7 Solving Linear Inequalities
 A.8 Solving Formulas for a Variable
 A.9 The Coordinate Plane
 A.10 Graphing Linear Equations
 A.11 Solving Systems of Linear Equations in Two Variables
 A.12 Exponents
 A.13 Multiplying Polynomials
 A.14 Simplifying Radical Expressions
 A.15 Solving Quadratic Equations by Factoring
 A.16 Solving Quadratic Equations by the Square Root Property
 A.17 Solving Quadratic Equations by the Quadratic Formula
Tables
 Math Symbols
 Formulas
 Measures
 Properties of Real Numbers Postulates, Theorems, and Additional Proofs
B. Additional Lessons
 B.1 Ellipses and Hyperbolas
 B.2 Measurement, Rounding Error, and Reasonableness
 B.3 The Effect of Measurement Errors on Calculations
Answers to Selected Exercises
Index
Photo Credits
Your questions answered
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