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Olympiad GeometryCovers numerous topics of geometry useful for Olympiad-level geometric proofs, including similar triangles, cyclic quadrilaterals, power of a point, homothety, inversion, transformations, collinearity, concurrence, construction, locus, and three-dimensional geometry. |
12 weeks |
| 12 weeks ARE YOU READY? DO YOU NEED THIS? SYLLABUS |
Schedule
| Spring 2021 | This course will be offered in Spring 2021. Click here to join our mailing list to be notified when the course schedule is available. | |||
AoPS Holidays
There are no classes October 31, November 23–29, and December 21–January 3.
Who Should Take?
This course is designed for students who are preparing for national high school Olympiads such as the USA Mathematical Olympiad. Students will be expected to have a very strong background in geometry, problem solving and some experience writing proofs.Lessons
| Lesson 1 | Fundamentals: Similar Triangles, Power of a Point, and Cyclic Quadrilaterals |
| Lesson 2 | Fundamentals Continued |
| Lesson 3 | Homothety |
| Lesson 4 | Parts of a Triangle & Construction Introduction |
| Lesson 5 | Construction |
| Lesson 6 | Locus |
| Lesson 7 | Ceva and Menelaus |
| Lesson 8 | Power of a Point and Radical Axis |
| Lesson 9 | 3-D Geometry |
| Lesson 10 | Transformations |
| Lesson 11 | Trigonometry |
| Lesson 12 | Inversion |
