Olympiad Geometry Online Math Course
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Olympiad Geometry

Covers 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

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ARE YOU READY? DO YOU NEED THIS?

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SYLLABUS
12 weeks ARE YOU READY? DO YOU NEED THIS?  

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AoPS Holidays

There are no classes November 25–December 1, or 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

This class dramatically enhanced my ability to solve Olympiad-level geometry problems, as well as my problem solving skills in general. The instruction was some of the best I've ever seen. Not only did the class explain the techniques for solving various problems, but it also gave the motivation for thinking of a particular technique for a problem. I can now complete problems that used to take me weeks to solve in a couple hours!

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