MATH105: Advanced Problems in Geometry A

Course Description

This course covers 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.  This course is for advanced students who have mastered the essentials and are eager for a more challenging mathematical experience. 

Pretest download link:
https://data.artofproblemsolving.com/course-docs/diagnostics/intro-geometry-pretest.pdf

Topic 1 Angles
Topic 2 Triangle Angles and Congruent Triangles
Topic 3 Isosceles & Equilateral Triangles, Perimeter, and Area
Topic 4 Similar Triangles
Topic 5 Similar Triangles and Right Triangles
Topic 6 More Right Triangles!
Topic 7 Special Parts of a Triangle
Topic 8 Special Parts of a Triangle, Continued!
Topic 9 Quadrilaterals
Topic 10 More Quadrilaterals
Topic 11 Polygons
Topic 12 Geometric Inequalities