Geometry
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The word geometry originally comes from Greek (geo meaning world, metri meaning measure) and means, literally, to measure the earth. It is an ancient branch of mathematics, but its modern meaning depends largely on context; however, geometry largely encompasses forms of non-numeric mathematics, such as those involving measurement, area and perimeter calculation, and work involving angles and position. It was one of the two fields of pre-modern mathematics, the other being the study of numbers. In modern times, geometric concepts have been generalized to a high level of abstraction and complexity, and have been subjected to the methods of calculus and abstract algebra, so that many modern branches of the field are barely recognizable as the descendants of early geometry. This Wikibook is dedicated to high school geometry and geometry in general.
Contents |
[edit] High School Geometry
The outline of topics reflects the Nevada curriculum content standards.
Navigation
Geometry Main Page
- Motivation
- Introduction
- Geometry/Chapter 1 Definitions and Reasoning (Introduction)
- Geometry/Chapter 2 Proofs
- Geometry/Chapter 3 Logical Arguments
- Geometry/Chapter 4 Congruence and Similarity
- Geometry/Chapter 5 Triangle: Congruence and Similiarity
- Geometry/Chapter 6 Triangle: Inequality Theorem
- Geometry/Chapter 7 Parallel Lines, Quadrilaterals, and Circles
- Geometry/Chapter 8 Perimeters, Areas, Volumes
- Geometry/Chapter 9 Prisms, Pyramids, Spheres
- Geometry/Chapter 10 Polygons
- Geometry/Chapter 11 R, R2, R3
- Geometry/Chapter 12 Angles: Interior and Exterior
- Geometry/Chapter 13 Angles: Complementary, Supplementary, Vertical
- Geometry/Chapter 14 Pythagorean Theorem: Proof
- Geometry/Chapter 15 Pythagorean Theorem: Distance and Triangles
- Geometry/Chapter 16 Constructions
- Geometry/Chapter 17 Coordinate Geometry
- Geometry/Chapter 18 Trigonometry
- Geometry/Chapter 19 Trigonometry: Solving Triangles
- Geometry/Chapter 20 Special Right Triangles
- Geometry/Chapter 21 Chords, Secants, Tangents, Inscribed Angles, Circumscribed Angles
- Geometry/Chapter 22 Rigid Motion
- Geometry/Appendix A Formulas
- Geometry/Appendix B Answers to problems
[edit] General geometry
- Part I- Euclidean Geometry:
- Chapter 1. Points, Lines, Line Segments and Rays
- Chapter 2. Angles
- Chapter 3. Properties
- Chapter 4. Inductive and Deductive Reasoning
- Chapter 5. Proof
- Chapter 6. Five Postulates of Euclidean Geometry
- Chapter 7. Vertical Angles
- Chapter 8. Parallel and Perpendicular Lines and Planes
- Chapter 9. Congruency and Similarity
- Chapter 10. Congruent Triangles
- Chapter 11. Similar Triangles
- Chapter 12. Quadrilaterals
- Chapter 13. Parallelograms
- Chapter 14. Trapezoids
- Chapter 15. Circles/Radii, Chords and Diameters
- Chapter 16. Circles/Arcs
- Chapter 17. Circles/Tangents and Secants
- Chapter 18. Circles/Sectors
- Appendix A. Postulates & Definitions
- Part II- Coordinate Geometry:
- Two and Three-Dimensional Geometry and Other Geometric Figures
- Perimeter and Arclength
- Area
- Volume
- Polygons
- Triangles
- Right Triangles and Pythagorean Theorem
- Polyominoes
- Ellipses
- 2-Dimensional Functions
- 3-Dimensional Functions
- Area Shapes Extended into 3rd Dimension
- Area Shapes Extended into 3rd Dimension Linearly to a Line or Point
- Polyhedras
- Ellipsoids and Spheres
- Coordinate Systems (currently incorrectly linked to Astronomy)
- Traditional Geometry:

