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Geometry essentials for dummies /
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 critic...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Indianapolis, IN :
John Wiley and Sons.,
2019.
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| Edición: | 1st edition. |
| Colección: | --For dummies.
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| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
Tabla de Contenidos:
- Intro; Title Page; Copyright Page; Table of Contents; Introduction; About This Book; Conventions Used in This Book; Foolish Assumptions; Icons Used in This Book; Where to Go from Here; Chapter 1 An Overview of Geometry; The Geometry of Shapes; One-dimensional shapes; Two-dimensional shapes; Three-dimensional shapes; Geometry Proofs; Am I Ever Going to Use This?; When you'll use your knowledge of shapes; When you'll use your knowledge of proofs; Getting Down with Definitions; A Few Points on Points; Lines, Segments, and Rays; Horizontal and vertical lines; Doubling up with pairs of lines
- Investigating the Plane FactsEverybody's Got an Angle; Five types of angles; Angle pairs; Bisection and Trisection; Segments; Angles; Chapter 2 Geometry Proof Starter Kit; The Lay of the (Proof) Land; Reasoning with If-Then Logic; If-then chains of logic; Definitions, theorems, and postulates; Bubble logic; Complementary and Supplementary Angles; Addition and Subtraction; Addition theorems; Subtraction theorems; Like Multiples and Like Divisions; Congruent Vertical Angles; Transitivity and Substitution; Chapter 3 Tackling a Longer Proof; Making a Game Plan; Using All the Givens
- Using If-Then LogicChipping Away at the Problem; Working Backward; Filling in the Gaps; Writing out the Finished Proof; Chapter 4 Triangle Fundamentals; Taking in a Triangle's Sides; Scalene triangles; Isosceles triangles; Equilateral triangles; Triangle Classification by Angles; The Triangle Inequality Principle; Sizing up Triangle Area; A triangle's altitude or height; Determining a triangle's area; Regarding Right Triangles; The Pythagorean Theorem; Pythagorean Triple Triangles; The Fab Four triangles; Families of Pythagorean triple triangles; Two Special Right Triangles
- The 45degree-45degree-90degree triangleThe 30degree-60degree-90degree triangle; Chapter 5 Congruent Triangle Proofs; Proving Triangles Congruent; SSS: The side-side-side method; SAS: Side-angle-side; ASA: The angle-side-angle tack; AAS: Angle-angle-side; Last but not least: HLR; Taking the Next Step with CPCTC; Defining CPCTC; Tackling a CPCTC proof; The Isosceles Triangle Theorems; The Two Equidistance Theorems; Determining a perpendicular bisector; Using a perpendicular bisector; Chapter 6 Quadrilaterals; Parallel Line Properties; Parallel lines with a transversal; The transversal theorems
- The Seven Special QuadrilateralsWorking with Auxiliary Lines; The Properties of Quadrilaterals; Properties of the parallelogram; Properties of the three special parallelograms; Properties of the kite; Properties of the trapezoid and the isosceles trapezoid; Proving That You've Got a Particular Quadrilateral; Proving you've got a parallelogram; Proving that you've got a rectangle, rhombus, or square; Proving that you've got a kite; Chapter 7 Polygon Formulas; The Area of Quadrilaterals; Quadrilateral area formulas; Why the formulas work; Trying a few area problems; The Area of Regular Polygons