MTH213
Foundations of Elementary Math 3

Fun with Geometry. pattern blocks

MTH213
Notes on Geometry
Spring 2020

Chapter 10 Geometric Figures

§ 10.1 Plane figures
  • Mathematical Systems
    • Undefined terms
    • Definitions
    • Theorems
  • Undefined Terms of Geometry
    • Point: a position
    • Line: a collection of points, straight, infinite
      a line through points A and E, a segment from points B to C, and a ray starting at point D and passing through point E.
    • Straight: line up
    • Plane: a collection of lines, flat, infinite
    • Flat: a plane
  • Definitions
    • Line segment
    • Ray
    • Angle
    • Half-plane
    • Angle measures
  • Angles
    • Measurement Units
      • Degrees
      • Turns
      • Radians
    • Categories
      • acute
      • right
      • obtuse
      • straight
      • reflex
      • complementary
      • supplementary
      • adjacent
      • vertical
  • Parallel Lines and more
    • Parallel lines
    • Perpendicular angles
    • Transversal
    • Alternate Interior angles
    • Alternate Exterior angles
  • Curves and Convex Sets
    • Simple curve
    • Closed curve
    • Transversal
    • Jordon curve theorem
    • Convex
    • Concave
  • More plane figures
    • Circle
    • Polygons
      • Edges
      • Diagonals
      • Vertices
      • Adjacency
      • Triangle
      • Quadrilateral
      • Pentagon
      • Hexagon
      • Heptagon
      • Octagon
      • Nonagon
      • N-gon