Have a great winter break! Please note that AoPS Online will not have classes Dec 21, 2024 through Jan 3, 2025.

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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

Diagnostics

ARE YOU READY? DO YOU NEED THIS?

Documents

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

Schedule

Wednesday
Mar 5 - May 21
7:30 - 9:30
PM ET
Mar 5 - May 21
7:30 - 9:30 PM Eastern
6:30 - 8:30 PM Central
5:30 - 7:30 PM Mountain
4:30 - 6:30 PM Pacific
Click here to see more time zones
$570 (~$48/lesson)
$570 (~$48/lesson)
ENROLL

AoPS Holidays

There are no classes December 21 ‐ January 3, May 24 ‐ 26, July 4 ‐ 6, August 29 ‐ September 1, October 31, and November 24 ‐ November 30, 2025.

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

1 Fundamentals: Similar Triangles, Power of a Point, and Cyclic Quadrilaterals
2 Fundamentals Continued
3 Homothety
4 Parts of a Triangle & Construction Introduction
5 Construction
6 Locus
7 Ceva and Menelaus
8 Power of a Point and Radical Axis
9 3-D Geometry
10 Transformations
11 Trigonometry
12 Inversion

This was a really fun class! I learned a lot, and more importantly was able to start making connections between results and truly intuitively understand geometry. Thank you so much!