# Geometry

### 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!