Lynette Long - Painless Geometry

Copyright 2020, 2018, 2009, 2001 by Kaplan, Inc., d/b/a Barrons Educational Series All rights reserved under International and Pan-American Copyright Conventions. By payment of the required fees, you have been granted the non-exclusive, non-transferable right to access and read the text of this eBook on screen. No part of this text may be reproduced, transmitted, downloaded, decompiled, reverse engineered, or stored in or introduced into any information storage and retrieval system, in any form or by any means, whether electronic or mechanical, now known or hereinafter invented, without the express written permission of the publisher. Published by Kaplan, Inc., d/b/a Barrons Educational Series
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Not really. I have been teaching math or teaching teachers how to teach math for more than twenty years. Math is easy ... or at least it can be with the help of this book! Whether you are learning geometry for the first time, or you are trying to remember what youve learned but have forgotten, this book is for you. It provides a clear introduction to geometry that is both fun and instructive. Dont be afraid.

Dive inits painless! Painless Icons and Features This book is designed with several unique features to help make learning geometry easy. PAINLESS TIP You will see Painless Tips throughout the book. These include helpful tips on the topics in that section. CAUTIONMajor Mistake Territory! Caution boxes will help you avoid common pitfalls or mistakes. Be sure to read them carefully. BRAIN TICKLERS There are Brain Ticklers throughout each chapter in the book.

These quizzes are designed to make sure you understand what youve just learned and to test your progress as you move forward in the chapter. Complete all the Brain Ticklers and check your answers. If you get any wrong, make sure to go back and review the topics associated with the questions you missed. SUPER BRAIN TICKLERS Super Brain Ticklers appear at the end of each chapter. These are comprehensive quizzes on all of the topics covered in the chapter. Solve these questions to make sure that you understand all of the chapter topics before moving forward.

PAINLESS STEPS Complex procedures are divided into a series of painless steps. These steps help you solve problems in a systematic way. Follow the steps carefully, and youll be able to solve most geometry problems. EXAMPLES Most problems are illustrated with examples. Study each of the examples. If you are having trouble, research shows that writing / copying the problem and the solution may help you understand it.

ILLUSTRATIONS Painless Geometry is full of illustrations to help you better understand geometry topics. Geometry is a visual subject. If you can visualize a problem, it will be easier to understand it. MINI-PROOFS Numerous mini-proofs appear throughout the book. Written informally, these mini-proofs are the first step toward understanding formal geometry proofs. EXPERIMENTS The book contains a series of experiments designed to help deepen your understanding of geometry.

Why not try some of the experiments? They are fun and informative. Geometry is a linear subject, and what you dont know in one chapter will haunt you in the next. Dont move forward if any topic confuses you. Go back and practice those topics until they are clear. Chapter Breakdown Chapter One is titled A Painless Beginning, and it really is. Chapter Two, Angles, will teach you everything about angles. Chapter Two, Angles, will teach you everything about angles.

It will show you how to measure and classify different types of angles as well as explain the relationship between different angle pairs. Chapter Three, Parallel and Perpendicular Lines, will show you how to identify parallel and perpendicular lines. You will learn what types of angles are formed when parallel and perpendicular lines are formed. Chapter Four, Triangles, shows you that there is more to learn about triangles than you ever dreamed possible. You will learn the types of triangles, as well as how to find the perimeter and area of a triangle. Chapter Five, Similar and Congruent Triangles, explains what similar and congruent triangles are.

By the time you finish reading this chapter, you will know what SSS, SAS, ASA, and AAS mean and how to use each of them to prove that two triangles are congruent. Chapter Six is titled Quadrilaterals, which is a fancy word for four-sided figures. Trapezoids, parallelograms, rhombuses, rectangles, and squares are all quadrilaterals. You will learn all about these interesting polygons here. Chapter Seven is titled Polygons, and you will learn that polygons are everywhere. The frame of your television is a polygon, and so is the STOP sign down the street.

You will be able to impress your friends when you know the names of your polygons, and youll learn the fascinating things all regular polygons have in common. Chapter Eight could have been titled Circles, Circles, and More Circles. You may know what a circle is, but you will find out how a pie is not only something you eat but an essential term in geometry. Chapter Nine, Perimeter, Area, and Volume, will show you how to find the perimeter, area, and volume of some common and not so common shapes. Its painless, just watch. Chapter Ten, Graphing, will teach you how to graph a point and a line.

You can use what you learn here to draw your own geometric shapes. Chapter Eleven, Constructions, will teach you how to construct or copy shapes with just a compass, straight edge, and pencil. When youre ready for a break, use these same tools to create some interesting designs. Geometry is a mathematical subject, but it is just like a foreign language. In geometry, you have to learn a whole new way of looking at the world. There are hundreds of terms in geometry that youve probably never heard before.

Geometry also uses many common terms, but they have different meanings. A point is no longer the point of a pencil, and a plane is not something that flies in the sky. To master geometry, you have to master these familiar and not so familiar terms, as well as the theorems and postulates that are the building blocks of geometry. You have a big job in front of you, but if you follow the step-by-step approach in this book and do all the experiments, it can be painless. Undefined terms are terms that are so basic they cannot be defined, but they can be described. A point is an undefined term.

A point is a specific place in space. A point has no dimension. It has no length, width, or depth. A point is represented by placing a dot on a piece of paper. A point is labeled by a single letter. A