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Geometry For Dummies.
Students studying geometry in school will certainly learn about lines and angles, circles and triangles, and they'll find everything they need to master those topics. But Geometry is so much more than shapes! Proofs are at the heart of any Geometry course, and they're most often where stud...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Somerset :
Wiley,
2016.
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| Edición: | 3rd ed. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Title Page; Copyright Page; Table of Contents; Introduction; About This Book; Conventions Used in This Book; What You're Not to Read; Foolish Assumptions; Icons Used in This Book; Beyond the Book; Where to Go from Here; Part 1 Getting Started with Geometry Basics; Chapter 1 Introducing Geometry; Studying the Geometry of Shapes; One-dimensional shapes; Two-dimensional shapes; Three-dimensional shapes; Getting Acquainted with Geometry Proofs; Easing into proofs with an everyday example; Turning everyday logic into a proof; Sampling a simple geometrical proof; When Am I Ever Going to Use This?
- When you'll use your knowledge of shapesWhen you'll use your knowledge of proofs; Why You Won't Have Any Trouble with Geometry; Chapter 2 Building Your Geometric Foundation; Getting Down with Definitions; A Few Points on Points; Lines, Segments, and Rays Pointing Every Which Way; Singling out horizontal and vertical lines; Doubling up with pairs of lines; Investigating the Plane Facts; Everybody's Got an Angle; Goldilocks and the three angles: Small, large, and just "right"; Angle pairs: Often joined at the hip; Chapter 3 Sizing Up Segments and Analyzing Angles; Measuring Segments and Angles.
- Measuring segmentsMeasuring angles; Adding and Subtracting Segments and Angles; Cutting in Two or Three: Bisection and Trisection; Bisecting and trisecting segments; Bisecting and trisecting angles; Proving (Not Jumping to) Conclusions about Figures; Part 2 Introducing Proofs; Chapter 4 Prelude to Proofs; Getting the Lay of the Land: The Components of a Formal Geometry Proof; Reasoning with If-Then Logic; If-then chains of logic; You've got your reasons: Definitions, theorems, and postulates; Bubble logic for two-column proofs; Horsing Around with a Two-Column Proof.
- Chapter 5 Your Starter Kit of Easy Theorems and Short ProofsDoing Right and Going Straight: Complementary and Supplementary Angles; Addition and Subtraction: Eight No-Big-Deal Theorems; Addition theorems; Subtraction theorems; Like Multiples and Like Divisions? Then These Theorems Are for You!; The X-Files: Congruent Vertical Angles Are Out There; Pulling the Switch with the Transitive and Substitution Properties; Chapter 6 The Ultimate Guide to Tackling a Longer Proof; Making a Game Plan; Using All the Givens; Making Sure You Use If-Then Logic; Chipping Away at the Problem.
- Jumping Ahead and Working BackwardFilling In the Gaps; Writing Out the Finished Proof; Part 3 Triangles: Polygons of the Three-Sided Variety; Chapter 7 Grasping Triangle Fundamentals; Taking In a Triangle's Sides; Scalene triangles: Akilter, awry, and askew; Isosceles triangles: Nice pair o' legs; Equilateral triangles: All parts are created equal; Introducing the Triangle Inequality Principle; Getting to Know Triangles by Their Angles; Sizing Up Triangle Area; Scaling altitudes; Determining a triangle's area; Locating the "Centers" of a Triangle; Balancing on the centroid.