Geometry is one of the oldest mathematical subjects in history. Unfortunately, few geometry study guides offer clear explanations, causing many people to get tripped up or lost when trying to solve a proof—even when they know the terms and concepts like the back of their hand. However, this problem can be fixed with practice and some strategies for slicing through all the mumbo-jumbo and getting right to the heart of the proof.
Geometry Workbook For Dummies ensures that practice makes perfect, especially when problems are presented without the stiff, formal style that you’d find in your math textbook. Written with a commonsense, street-smart approach, this guide gives you the step-by-step process to solve each proof, along with tips, shortcuts, and mnemonic devices to make sure the solutions stick. It also gives you plenty of room to work out your solutions, providing you with space to breathe and a clear head. This book provides you with the tools you need to solve all types of geometry problems, including:
- Congruent triangles
- Finding the area, angle, and size of quadrilaterals
- Angle-arc theorems and formulas
- Touching radii and tangents
- Connecting radii and chords
- Parallel, perpendicular, and intersecting lines and planes
- Slope, distance, and midpoint formulas
- Line and circle equations
- Handling rotations, reflections, and other transformations
Packed with tons of strategies for solving proofs and a review of key concepts, Geometry Workbook For Dummies is the ultimate study aid for students, parents, and anyone with an interest in the field.
Part I: Getting Started.
Chapter 1: Introducing Geometry and Geometry Proofs!
Chapter 2: Points, Segments, Lines, Rays, and Angles.
Part II: Triangles.
Chapter 3: Triangle Fundamentals and Other Cool Stuff.
Chapter 4: Congruent Triangles.
Part III: Polygons.
Chapter 5: Quadrilaterals: Your Fine, Four-Sided Friends.
Chapter 6: Area, Angles, and the Many Sides of Polygon Geometry.
Chapter 7: Similarity: Size Doesn?t Matter.
Part IV: Circles.
Chapter 8: Circular Reasoning.
Chapter 9: Scintillating Circle Formulas.
Part V: 3-D Geometry and Coordinate Geometry.
Chapter 10: 2-D Stuff Standing Up.
Chapter 11: Solid Geometry: Digging into Volume and Surface Area.
Chapter 12: Coordinate Geometry, Courtesy of Descartes.
Chapter 13: Transforming the (Geometric) World: Reflections, Rotations, and Translations.
Part VI: The Part of Tens.
Chapter 14: Ten (Plus) Incredibly Fantastic Strategies for Doing Proofs.
Chapter 15: Ten Things You Better Know (for Geometry), or Your Name Is Mudd.