GeoGebra
GeoGebra
  • Chapter 12: The Place of Parallels
  • Introduction and Assumptions
  • Applications to Transversals
  • Applications to Triangles
  • Parallels of Parallels
  • Applications to N-gons

Chapter 12: The Place of Parallels

Author:
Aaron Moring-D'Angier
Topic:
Geometry, Straight Lines
In this chapter, we discover parallel lines including theorems and corollaries that can be applied broadly to various aspects of geometry. (Cover image by Michael Trolove and used through Creative Commons rights. Image can be found at http://www.geograph.org.uk/photo/753687.)
Chapter 12: The Place of Parallels

Table of Contents

  • Introduction and Assumptions

    • Parallel Postulate
  • Applications to Transversals

    • Alternate Interior Angle Theorem - Proof (12.1.1)
    • Converse: Alternate Interior Angle Theorem - Proof (12.1.2)
    • Corollary 12.1.4
    • Corollary 12.1.5
  • Applications to Triangles

    • Triangle Interior Angles - Exploration
    • Theorem 12.1.6
    • Corollary 12.1.7
  • Parallels of Parallels

    • Theorem 12.1.8
  • Applications to N-gons

    • N-Gon Interior Angles
    • N-Gon Exterior Angles
Next
Parallel Postulate

New Resources

  • Bibi Khanum mosque - weave pattern side wall - ks
  • interior - domes - mu
  • interior - wal panels - gp
  • Bibi Khanum entrance gate - minarets - ks
  • Gur Emir mausoleum - mu

Discover Resources

  • Rectangular Coordinate System
  • ConstrMediilor.
  • Untitled
  • Start, Copy an Angle
  • Dodecagon Puzzle

Discover Topics

  • Numbers
  • Circumcircle or Circumscribed Circle
  • Bar Chart or Bar Graph
  • Root
  • Geometric Mean

GeoGebra

  • About
  • Partners
  • GeoGebra on Tests
  • News Feed
  • App Downloads

Apps

  • Calculator Suite
  • Graphing Calculator
  • 3D Calculator
  • CAS Calculator
  • Scientific Calculator

Resources

  • Classroom Resources
  • Learn GeoGebra
  • Classroom
  • Geometry
  • Notes
  • Terms of Service Privacy License
  • Facebook Twitter YouTube