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Olympiad Geometry - a beautiful journey!
Rating: 5.0 out of 5(2 ratings)
36 students

Olympiad Geometry - a beautiful journey!

A complete guide to mastering geometry for national and international mathematics competitions
Created byAshish Kashyap
Last updated 6/2025
English

What you'll learn

  • Develop a deep conceptual understanding of Euclidean geometry, enabling students to recognize patterns, relationships, commonly used in Olympiads.
  • Apply powerful tools—cyclic geometry, similarity, and transformations—to approach challenging Olympiad questions effectively.
  • Develop strategic problem-solving skills, including spotting patterns, adding auxiliaries, and choosing efficient solution methods.
  • Gain confidence solving national and international Olympiad geometry problems through guided examples and structured practice.

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Course content

3 sections • 28 lectures • 31h 18m total length

  • Some Basic Theorems in Geometry1:03:10
  • Circle Theorems58:29
  • Exploring Concurrencies in a Triangle38:59
  • Cyclic Quadrilaterals and Power of a Point.56:29
  • Applications of Power of a Point I52:56

    Explore power of a point and its olympiad applications, including Euler's theorem linking OI^2 to R and r, and apply to orthocenter conditions and tangents.

  • Applications of Power of a Point II1:01:56
  • The Perpendicularity Criteria + Butterfly Theorem & Carnot Theorem58:35
  • Ceva, Trig Ceva, Symmedians, Isogonal Conjugates54:50
  • Isogonal Conjugate of a Point, Menelaus Theorem & Van Aubel's Theorem47:48
  • Some more Menelaus55:05
  • Radical Axis & Radical Center44:37
  • Applying Menelaus' Theorem to prove Van Aubel and Desargues Theorems52:15

Requirements

  • No prerequisites are needed.

Description

Geometry is one of the most elegant, visual, and intellectually satisfying branches of mathematics—and a cornerstone of every major mathematics competition in the world. Whether you’re preparing for AMC, AIME, USA(J)MO, IMO, RMO, INMO, ISI/CMI entrance exams, or Olympiads across Asia, Europe, and Africa, mastering geometry is essential.

Olympiad Geometry – A Beautiful Journey is a thoughtfully designed course that takes you from foundational ideas to deep, contest-level insights. The course blends classical Euclidean geometry, modern problem-solving strategies, and powerful Olympiad techniques. Every lesson is crafted to help students see geometry, understand why results are true, and apply ideas confidently in unfamiliar problems.

This course covers all the theory that you will need, it also has a problem-solving techniques section like my other courses. We have 31 hours of content covering hundreds of Olympiad problems.

Created by Ashish Kashyap, an experienced educator and founder of Shishya Learning, this course combines clarity, intuition, and problem-solving wisdom collected over years of training students for high-level competitions. You can also check out my other Udemy courses - Math Olympiad Masterclass, Combinatorics for Math Contests, Algebra for Math Contests and two courses for Number Theory - Introductory and Advanced. I also have a course for younger students called "Introduction to Problem Solving".

You will learn not only how to solve geometry problems, but also how to think like an Olympian.

Who this course is for:

  • This course is designed for parents of students who are going to write National and International Math Contests and want to improve their Geometry.

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