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  • Geometry essentials for dummies
  • 點閱:3
  • 作者: by Mark Ryan
  • 出版社:John Wiley & Sons, Inc.
  • 出版年:c2019
  • 集叢名:For dummies
  • ISBN:9781119590446; 9781119590477; 9781119590460
  • 格式:EPUB 流式,PDF,JPG
  • 附註:Includes index. "Learning made easy" -- Cover.

Geometry Essentials For Dummies (9781119590446) was previously published as Geometry Essentials For Dummies (9781118068755). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.
 
 
 
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


ABOUT THE AUTHOR

Mark Ryan is the owner of The Math Center in the Chicago area, where he teaches students in all levels of mathematics, from pre-algebra to calculus. He is the author of Calculus For Dummies and Geometry For Dummies.

  • INTRODUCTION(第1頁)
    • About This Book(第1頁)
    • Conventions Used in This Book(第2頁)
    • Foolish Assumptions(第2頁)
    • Icons Used in This Book(第3頁)
    • Where to Go from Here(第3頁)
  • CHAPTER 1: An Overview of Geometry(第5頁)
    • The Geometry of Shapes(第6頁)
    • Geometry Proofs(第6頁)
    • Am I Ever Going to Use This?(第7頁)
    • Getting Down with Definitions(第9頁)
    • A Few Points on Points(第11頁)
    • Lines, Segments, and Rays(第12頁)
    • Investigating the Plane Facts(第14頁)
    • Everybody’s Got an Angle(第14頁)
    • Bisection and Trisection(第18頁)
  • CHAPTER 2: Geometry Proof Starter Kit(第21頁)
    • The Lay of the (Proof) Land(第21頁)
    • Reasoning with If-Then Logic(第23頁)
    • Complementary and Supplementary Angles(第27頁)
    • Addition and Subtraction(第29頁)
    • Like Multiples and Like Divisions(第34頁)
    • Congruent Vertical Angles(第36頁)
    • Transitivity and Substitution(第37頁)
  • CHAPTER 3: Tackling a Longer Proof(第41頁)
    • Making a Game Plan(第42頁)
    • Using All the Givens(第42頁)
    • Using If-Then Logic(第43頁)
    • Chipping Away at the Problem(第45頁)
    • Working Backward(第47頁)
    • Filling in the Gaps(第49頁)
    • Writing out the Finished Proof(第49頁)
  • CHAPTER 4: Triangle Fundamentals(第51頁)
    • Taking in a Triangle’s Sides(第51頁)
    • Triangle Classification by Angles(第52頁)
    • The Triangle Inequality Principle(第53頁)
    • Sizing up Triangle Area(第54頁)
    • Regarding Right Triangles(第57頁)
    • The Pythagorean Theorem(第58頁)
    • Pythagorean Triple Triangles(第60頁)
    • Two Special Right Triangles(第64頁)
  • CHAPTER 5: Congruent Triangle Proofs(第69頁)
    • Proving Triangles Congruent(第69頁)
    • Taking the Next Step with CPCTC(第75頁)
    • The Isosceles Triangle Theorems(第79頁)
    • The Two Equidistance Theorems(第81頁)
  • CHAPTER 6: Quadrilaterals(第85頁)
    • Parallel Line Properties(第85頁)
    • The Seven Special Quadrilaterals(第89頁)
    • Working with Auxiliary Lines(第90頁)
    • The Properties of Quadrilaterals(第93頁)
    • Proving That You’ve Got a Particular Quadrilateral(第100頁)
  • CHAPTER 7: Polygon Formulas(第107頁)
    • The Area of Quadrilaterals(第107頁)
    • The Area of Regular Polygons(第113頁)
    • Angle and Diagonal Formulas(第115頁)
  • CHAPTER 8: Similarity(第119頁)
    • Similar Figures(第119頁)
    • Proving Triangles Similar(第124頁)
    • Splitting Right Triangles with the Altitude-on-Hypotenuse Theorem(第128頁)
    • More Proportionality Theorems(第130頁)
  • CHAPTER 9: Circle Basics(第135頁)
    • Radii, Chords, and Diameters(第135頁)
    • Arcs and Central Angles(第138頁)
    • Tangents(第138頁)
    • The Pizza Slice Formulas(第140頁)
    • The Angle-Arc Formulas(第143頁)
    • The Power Theorems(第147頁)
  • CHAPTER 10: 3-D Geometry(第151頁)
    • Flat-Top Figures(第151頁)
    • Pointy-Top Figures(第154頁)
    • Spheres(第159頁)
  • CHAPTER 11: Coordinate Geometry(第161頁)
    • The Coordinate Plane(第161頁)
    • Slope, Distance, and Midpoint(第162頁)
    • Equations for Lines and Circles(第167頁)
  • CHAPTER 12: Ten Big Reasons to Use in Proofs(第171頁)
    • The Reflexive Property(第171頁)
    • Vertical Angles Are Congruent(第171頁)
    • The Parallel-Line Theorems(第172頁)
    • Two Points Determine a Line(第172頁)
    • All Radii Are Congruent(第173頁)
    • If Sides, Then Angles(第173頁)
    • If Angles, Then Sides(第173頁)
    • Triangle Congruence(第173頁)
    • CPCTC(第174頁)
    • Triangle Similarity(第174頁)
  • INDEX(第175頁)
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