3. 2D Geometry



3.1 Lines

  1. Universal Properties

  2. Systems of Linear Equations

  3. Matrix Notation


3.2 Triangles

  1. Universal Properties

  2. Types & Terminology

  3. Intersections

  4. Vivaldi's Theorem

  5. Right Angle (Pythagorean) Theorem

  6. Heron's Formula

  7. Distance Formula

  8. Right Angle Definitions


3.3 Matricies & Vectors in 2D

  1. Matrix Definition & Notation

  2. Identity Matrix

  3. Matrix Arithmetic

  4. Determinant

  5. Matrix Solutions with Determinants (Cramer's Rule)

  6. Inverse Matrix

  7. Transpose Matrix

  8. Vector Definition & Notation

  9. Vector Magnitude & Unit Vector

  10. Vector Arithmetic

  11. Dot Product 🔧

  12. Orthogonal Projection 🔧


3.4 Polygons

  1. Universal Properties

  2. Types

  3. Regular Polygons


3.5 Conic Sections

  1. Universal Properties

  2. Circles

  3. Ellipses

  4. Parabolas

  5. Hyperbolas

  6. Rotations 🔧