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Unformatted text preview: Geometry Catherine V. Jeremko N EW YOR K J U S T I M E IN TeamLRN Copyright 2004 LearningExpress, LLC. All rights reserved under International and PanAmerican Copyright Conventions. Published in the United States by LearningExpress, LLC, New York. Library of Congress CataloginginPublication Data: Jeremko, Cathy. Just in time geometry / Catherine Jeremko.1st ed. p. cm. ISBN 1578655147 (pbk. : alk. paper) 1. GeometryStudy and teaching (Elementary) I. Title. QA461.J47 2004 516dc22 2003027068 Printed in the United States of America 9 8 7 6 5 4 3 2 1 First Edition ISBN 1576855147 For more information or to place an order, contact LearningExpress at: 55 Broadway 8th Floor New York, NY 10006 Or visit us at: www.learnatest.com TeamLRN ABOUT THE AUTHOR Catherine V. Jeremko is a certied secondary mathematics teacher in New York State. She is the author of Just in Time Math , has contributed to 501 Quantitative Comparison Questions , and has edited two publications, GMAT Success! and the second edition of 501 Algebra Questions , all published by LearningExpress. She currently teaches seventh grade mathematics at Vestal Middle School in Vestal, New York. Ms. Jeremko is also a teacher trainer for the use of technology in the mathematics classroom. She resides in Apalachin, New York with her three daughters. TeamLRN TeamLRN Formula Cheat Sheet ix Introduction xi 1 Study Skills 1 2 Building Blocks of Geometry: Points, Lines, and Angles 16 3 Special Angle Pairs and Angle Measurement 47 4 Triangles 78 5 Quadrilaterals and Circles 116 6 Perimeter and Area 167 7 Surface Area and Volume 201 8 Transformations and Similarity 236 9 Pythagorean Theorem and Trigonometry 269 10 Coordinate Geometry 314 CONTENTS v TeamLRN TeamLRN PERIMETER Rectangle: P = 2 l + 2 w Square: P = 4 s CIRCUMFERENCE OF A CIRCLE C = d or C = 2 r AREA Triangle: A = 1 2 b h Rectangle: A = b h Trapezoid: A = 1 2 h ( b 1 + b 2 ) Circle: A = r 2 SURFACE AREA Rectangular Prism: SA = 2( l w ) + 2( l h ) + 2( w h ) Cube: SA = 6 s 2 Cylinder: 2( r 2 ) + 2 rh Sphere: 4 r 2 VOLUME V = b h (the area of the base times the height) Rectangular Solid: V = l w h Cylinder: V = r 2 h Cube: V = s 3 Triangular Prism: 1 2 bh 1 h 2 Trapezoidal Prism: 1 2 h 1 ( b 1 + b 2 ) h 2 Sphere: 4 3 r 3 Pyramid: 1 3 lwh Cone: 1 3 r 2 h PYTHAGOREAN THEOREM leg 2 + leg 2 = hypotenuse 2 , or a 2 + b 2 = c 2 FORMULA CHEAT SHEET vii " TeamLRN TRIGONOMETRIC RATIOS (SOH CAH TOA) Sine of an angle: Cosine of an angle: Tangent of an angle: COORDINATE GEOMETRY Midpoint of a segment: M = ( x 1 + 2 x 2 , y 1 + 2 y 2 ) Distance between two points: D = ( x 2 x 1 ) 2 + ( y 2 y 1 ) 2 Slope of a line: , or x y , or , or Slopeintercept form of a line: y = mx + b , where m is the slope and b is the yintercept rise run y 2 y 1 x 2 x 1 the change in the ycoordinates value the change in the xcoordinates value length of opposite side length of adjacent side...
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This note was uploaded on 11/17/2010 for the course ISM IS taught by Professor Dr.cruceru during the Spring '10 term at Keller Graduate School of Management.
 Spring '10
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