### Course Syllabus

Fundamentals of geometry, including angles, triangle similarity and congruence, complicated area problems, mastering the triangle, special quadrilaterals, polygons, the art of angle chasing, power of a point, 3-dimensional geometry, transformations, analytic geometry, basic trigonometry, geometric proof, and more.

Book: Introduction to Geometry, the Art of Problem Solving, by Richard Rusczyk

Time Commitment: This 24 course includes 1.5 in-class hours and 2-3 hours of homework each class, corresponding to a full-year course.

Graphic Tool: GeoGebra, https://www.geogebra.org/geometry

Content:

Class | Topic |

1 | Angles |

2 | Triangle Angles and Congruent Triangles |

3 | Isosceles & Equilateral Triangles, Perimeter, and Area |

4 | Similar Triangles |

5 | Similar Triangles and Right Triangles |

6 | More Right Triangles! |

7 | Special Parts of a Triangle |

8 | Special Parts of a Triangle, Continued! |

9 | Quadrilaterals |

10 | More Quadrilaterals |

11 | Polygons |

12 | Geometric Inequalities |

13 | Introduction to Circles |

14 | Circles and Angles |

15 | Tangents |

16 | Power of a Point |

17 | 3D Geometry Part 1 |

18 | 3D Geometry Part 2 |

19 | Transformations |

20 | Analytic Geometry |

21 | More Analytic Geometry |

22 | Basic Trigonometry |

23 | Problems! |

24 | More Problems! |