Geometry Essentials For Dummies

Book description

Geometry Essentials For Dummies (9781119590446) was previously published as Geometry Essentials For Dummies (9781118068755). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.


Just the critical concepts you need to score high in geometry

This practical, friendly guide focuses on critical concepts taught in a typical geometry course, from the properties of triangles, parallelograms, circles, and cylinders, to the skills and strategies you need to write geometry proofs. Geometry Essentials For Dummies is perfect for cramming or doing homework, or as a reference for parents helping kids study for exams.

  • Get down to the basics — get a handle on the basics of geometry, from lines, segments, and angles, to vertices, altitudes, and diagonals
  • Conquer proofs with confidence — follow easy-to-grasp instructions for understanding the components of a formal geometry proof
  • Take triangles in strides — learn how to take in a triangle's sides, analyze its angles, work through an SAS proof, and apply the Pythagorean Theorem
  • Polish up on polygons — get the lowdown on quadrilaterals and other polygons: their angles, areas, properties, perimeters, and much more

Table of contents

  1. Cover
  2. Introduction
    1. About This Book
    2. Conventions Used in This Book
    3. Foolish Assumptions
    4. Icons Used in This Book
    5. Where to Go from Here
  3. Chapter 1: An Overview of Geometry
    1. The Geometry of Shapes
    2. Geometry Proofs
    3. Am I Ever Going to Use This?
    4. Getting Down with Definitions
    5. A Few Points on Points
    6. Lines, Segments, and Rays
    7. Investigating the Plane Facts
    8. Everybody’s Got an Angle
    9. Bisection and Trisection
  4. Chapter 2: Geometry Proof Starter Kit
    1. The Lay of the (Proof) Land
    2. Reasoning with If-Then Logic
    3. Complementary and Supplementary Angles
    4. Addition and Subtraction
    5. Like Multiples and Like Divisions
    6. Congruent Vertical Angles
    7. Transitivity and Substitution
  5. Chapter 3: Tackling a Longer Proof
    1. Making a Game Plan
    2. Using All the Givens
    3. Using If-Then Logic
    4. Chipping Away at the Problem
    5. Working Backward
    6. Filling in the Gaps
    7. Writing out the Finished Proof
  6. Chapter 4: Triangle Fundamentals
    1. Taking in a Triangle’s Sides
    2. Triangle Classification by Angles
    3. The Triangle Inequality Principle
    4. Sizing up Triangle Area
    5. Regarding Right Triangles
    6. The Pythagorean Theorem
    7. Pythagorean Triple Triangles
    8. Two Special Right Triangles
  7. Chapter 5: Congruent Triangle Proofs
    1. Proving Triangles Congruent
    2. Taking the Next Step with CPCTC
    3. The Isosceles Triangle Theorems
    4. The Two Equidistance Theorems
  8. Chapter 6: Quadrilaterals
    1. Parallel Line Properties
    2. The Seven Special Quadrilaterals
    3. Working with Auxiliary Lines
    4. The Properties of Quadrilaterals
    5. Proving That You’ve Got a Particular Quadrilateral
  9. Chapter 7: Polygon Formulas
    1. The Area of Quadrilaterals
    2. The Area of Regular Polygons
    3. Angle and Diagonal Formulas
  10. Chapter 8: Similarity
    1. Similar Figures
    2. Proving Triangles Similar
    3. Splitting Right Triangles with the Altitude-on-Hypotenuse Theorem
    4. More Proportionality Theorems
  11. Chapter 9: Circle Basics
    1. Radii, Chords, and Diameters
    2. Arcs and Central Angles
    3. Tangents
    4. The Pizza Slice Formulas
    5. The Angle-Arc Formulas
    6. The Power Theorems
  12. Chapter 10: 3-D Geometry
    1. Flat-Top Figures
    2. Pointy-Top Figures
    3. Spheres
  13. Chapter 11: Coordinate Geometry
    1. The Coordinate Plane
    2. Slope, Distance, and Midpoint
    3. Equations for Lines and Circles
  14. Chapter 12: Ten Big Reasons to Use in Proofs
    1. The Reflexive Property
    2. Vertical Angles Are Congruent
    3. The Parallel-Line Theorems
    4. Two Points Determine a Line
    5. All Radii Are Congruent
    6. If Sides, Then Angles
    7. If Angles, Then Sides
    8. Triangle Congruence
    9. CPCTC
    10. Triangle Similarity
  15. Index
  16. About the Author
  17. Connect with Dummies
  18. End User License Agreement

Product information

  • Title: Geometry Essentials For Dummies
  • Author(s): Mark Ryan
  • Release date: May 2019
  • Publisher(s): For Dummies
  • ISBN: 9781119590446