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Mark Ryan - Geometry Essentials for Dummies

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Mark Ryan Geometry Essentials for Dummies
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Just the critical concepts you need to score high in geometryThis 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 diagonalsConquer proofs with confidence follow easy-to-grasp instructions for understanding the components of a formal geometry proofTake triangles in strides learn how to take in a triangles sides, analyze its angles, work through an SAS proof, and apply the Pythagorean TheoremPolish up on polygons get the lowdown on quadrilaterals and other polygons: their angles, areas, properties, perimeters, and much moreOpen the book and find:Plain-English explanations of geometry termsTips for tackling geometry proofsThe seven members of the quadrilateral familyStraight talk on circlesEssential triangle formulasThe lowdown on 3-D: spheres, cylinders, prisms, and pyramidsTen things to use as reasons in geometry proofsLearn to:Core concepts about the geometry of shapes and geometry proofsCritical theorems, postulates, and definitionsThe principles and formulas you need to know

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Geometry Essentials For Dummies by Mark Ryan Geometry Essentials For Dummies - photo 1

Geometry Essentials For Dummies

by Mark Ryan

Geometry Essentials For Dummies Published by Wiley Publishing Inc 111 River - photo 2

Geometry Essentials For Dummies

Published by
Wiley Publishing, Inc.
111 River St.
Hoboken, NJ 07030-5774
www.wiley.com

Copyright 2011 by Wiley Publishing, Inc., Indianapolis, Indiana

Published simultaneously in Canada

No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400, fax 978-646-8600. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008, or online at http://www.wiley.com/go/permissions.

Trademarks: Wiley, the Wiley Publishing logo, For Dummies, the Dummies Man logo, A Reference for the Rest of Us!, The Dummies Way, Dummies Daily, The Fun and Easy Way, Dummies.com, Making Everything Easier!, and related trade dress are trademarks or registered trademarks of John Wiley & Sons, Inc. and/or its affiliates in the United States and other countries, and may not be used without written permission. All other trademarks are the property of their respective owners. Wiley Publishing, Inc., is not associated with any product or vendor mentioned in this book.

Limit of Liability/Disclaimer of Warranty: The publisher and the author make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties, including without limitation warranties of fitness for a particular purpose. No warranty may be created or extended by sales or promotional materials. The advice and strategies contained herein may not be suitable for every situation. This work is sold with the understanding that the publisher is not engaged in rendering legal, accounting, or other professional services. If professional assistance is required, the services of a competent professional person should be sought. Neither the publisher nor the author shall be liable for damages arising herefrom. The fact that an organization or Website is referred to in this work as a citation and/or a potential source of further information does not mean that the author or the publisher endorses the information the organization or Website may provide or recommendations it may make. Further, readers should be aware that Internet Websites listed in this work may have changed or disappeared between when this work was written and when it is read.

For general information on our other products and services, please contact our Customer Care Department within the U.S. at 877-762-2974, outside the U.S. at 317-572-3993, or fax 317-572-4002.

For technical support, please visit www.wiley.com/techsupport.

Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic books.

Library of Congress Control Number: 2011905203

ISBN: 978-1-118-06875-5

Manufactured in the United States of America

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About the Author

A graduate of Brown University and the University of Wisconsin Law School, Mark Ryan has been teaching math since 1989. He runs The Math Center (www.themathcenter.com) in Winnetka, Illinois, where he teaches high school math courses, including an introduction to geometry and a workshop for parents based on a program he developed, The 10 Habits of Highly Successful Math Students . In high school, he twice scored a perfect 800 on the math portion of the SAT, and he not only knows mathematics but also has a gift for explaining it in plain English. He practiced law for four years before deciding he should do something he enjoys and use his natural talent for mathematics. Ryan is a member of the Authors Guild and the National Council of Teachers of Mathematics.

Geometry Essentials For Dummies is Ryans sixth book. Everyday Math for Everyday Life (Grand Central Publishing) was published in 2002; Calculus For Dummies (Wiley), in 2003; Calculus Workbook For Dummies (Wiley), in 2005; Geometry Workbook For Dummies (Wiley), in 2006; and Geometry For Dummies, 2nd Edition (Wiley) in 2008. His math books have sold over a quarter of a million copies.

Also a tournament backgammon player and a skier and tennis player, Ryan lives in Chicago.

Publishers Acknowledgments

Were proud of this book; please send us your comments through our online registration form located at http://dummies.custhelp.com. For other comments, please contact our Customer Care Department within the U.S. at 877-762-2974, outside the U.S. at 317-572-3993, or fax 317-572-4002.

Some of the people who helped bring this book to market include the following:

Acquisitions, Editorial, and Media Development

Project Editor: Joan Friedman

Acquisitions Editor: Lindsay Sandman Lefevere

Assistant Editor: David Lutton

Technical Editors: Nancy Cozad, Amanda D. Milligan

Senior Editorial Manager: Jennifer Ehrlich

Editorial Supervisor and Reprint Editor: Carmen Krikorian

Editorial Assistant: Rachelle S. Amick

Cover Photos: iStockphoto.com / Deanima

Cartoons: Rich Tennant (www.the5thwave.com)

Composition Services

Project Coordinator: Kristie Rees

Layout and Graphics: Carrie A. Cesavice, Corrie Socolovitch

Proofreader: Jacqui Brownstein

Indexer: Potomac Indexing, LLC

Publishing and Editorial for Consumer Dummies

Diane Graves Steele, Vice President and Publisher, Consumer Dummies

Kristin Ferguson-Wagstaffe, Product Development Director, Consumer Dummies

Ensley Eikenburg, Associate Publisher, Travel

Kelly Regan, Editorial Director, Travel

Publishing for Technology Dummies

Andy Cummings, Vice President and Publisher, Dummies Technology/General User

Composition Services

Debbie Stailey , Director of Composition Services

Introduction

G eometry is a subject full of mathematical richness and beauty. The ancient Greeks were into it big time, and its been a mainstay in secondary education for centuries. Today, no education is complete without at least some familiarity with the fundamental principles of geometry.

But geometry is also a subject that bewilders many students because its so unlike the math that theyve done before. Geometry requires you to use deductive logic in formal proofs. This process involves a special type of verbal and mathematical reasoning thats new to many students. The subject also involves working with two- and three-dimensional shapes. The spatial reasoning required for this is another thing that makes geometry different and challenging.

Geometry Essentials For Dummies can be a big help to you if youve hit the geometry wall. Or if youre a first-time student of geometry, it can prevent you from hitting the wall in the first place. When the world of geometry opens up to you and things start to click, you may come to really appreciate this topic, which has fascinated people for millennia.

About This Book

Geometry Essentials For Dummies covers all the principles and formulas you need to analyze two- and three-dimensional shapes, and it gives you the skills and strategies you need to write geometry proofs.

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