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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.
| 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 |