# Geometry Essentials For Dummies (Google eBook)

John Wiley & Sons, May 12, 2011 - Mathematics - 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

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### Contents

 Introduction 1 An Overview of Geometry 5 Geometry Proof Starter Kit 21 Complementary and Supplementary Angles 27 Like Multiples and Like Divisions 35 Tackling a Longer Proof 41 Triangle Fundamentals 51 Regarding Right Triangles 57
 Polygon Formulas 107 Similarity 119 Proving Triangles Similar 125 More Proportionality Theorems 131 Circle Basics 135 3D Geometry 151 Coordinate Geometry 161 Equations for Lines and Circles 167

 Two Special Right Triangles 64 Congruent Triangle Proofs 69 Taking the Next Step with CPCTC 75 The Two Equidistance Theorems 81 Quadrilaterals 85
 Ten Big Reasons to Use in Proofs 171 All Radii Are Congruent 173 Index 175 Copyright