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Geometry Essentials For Dummies

Mark Ryan

ISBN: 978-1-118-09579-9 May 2011 196 Pages


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

Open the book and find:

  • Plain-English explanations of geometry terms

  • Tips for tackling geometry proofs

  • The seven members of the quadrilateral family

  • Straight talk on circles

  • Essential triangle formulas

  • The lowdown on 3-D: spheres, cylinders, prisms, and pyramids

  • Ten things to use as reasons in geometry proofs

Learn to:

  • Core concepts about the geometry of shapes and geometry proofs

  • Critical theorems, postulates, and definitions

  • The principles and formulas you need to know

Introduction 1

Chapter 1: An Overview of Geometry 5

Chapter 2: Geometry Proof Starter Kit 21

Chapter 3: Tackling a Longer Proof 41

Chapter 4: Triangle Fundamentals 51

Chapter 5: Congruent Triangle Proofs 69

Chapter 6: Quadrilaterals 85

Chapter 7: Polygon Formulas 107

Chapter 8: Similarity 119

Chapter 9: Circle Basics 135

Chapter 10: 3-D Geometry 151

Chapter 11: Coordinate Geometry 161

Chapter 12: Ten Big Reasons to Use in Proofs 171

Index 175