Learning Platform
Learn & Improve Your Geometry
Geometry is more than a subject — it's a tool that sharpens problem-solving and stretches how you think. Work through concept guides, challenge problems, and contest strategy built for every level, from first proofs to olympiad geometry.
Explore by cluster
Four doors into geometry
Angles, triangles, circles, congruence, similarity, and Pythagoras.
Recognizing configurations fast, choosing a method, pacing the paper.
Angle chasing, constructions, area maximization, coordinates, and proof.
Nature, architecture, design, navigation — geometry out of the classroom.
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New to competitive geometry?
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Featured reading
Start with these
How to Ace Your Next Geometry Contest: Tips from the Pros
Contest geometry rewards recognition over brute force. Which theorems to know cold, how to classify a problem fast, and how to pace a timed paper.
Geometry in Nature: Discovering Shapes in the World Around Us
Symmetry in snowflakes, Fibonacci spirals in shells, hexagons in honeycomb, fractals in rivers — where nature keeps arriving at the geometry we teach.
Mastering the Basics: Key Geometry Concepts Every Student Should Know
School geometry in one place: points and planes, angles, triangles, Pythagoras, circle formulas, transformations, congruence, similarity and 3D solids.
More from the library
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Understanding the Pythagorean Theorem: A Step-by-Step Guide
What a² + b² = c² actually says, why it holds, how to apply it step by step, where students slip, and the extensions that follow from it.
by Geometry Contest -
The Importance of Geometry in Everyday Life
Architecture, GPS, medical imaging, sport, interior design, clothing — ten places geometry does quiet work, and the ideas each one relies on.
by Geometry Contest -
Top Geometry Challenges to Sharpen Your Problem-Solving Skills
Ten problem types that build real geometric skill: angle chasing, circle theorems, constructions, area maximization, coordinates and formal proof.
by Geometry Contest -
10 Common Mistakes in Geometry and How to Avoid Them
Assuming the diagram is to scale, mixing up perimeter and area, misapplying congruence — ten geometry errors, and the habit that prevents each one.
by Geometry Contest
About us
About Geometry Contest
Geometry Contest is a free resource for students, teachers, and anyone who enjoys the moment a diagram suddenly makes sense.
We cover the concepts contests actually test — triangle centers, circle theorems, similarity, coordinate and transformational methods, and the classical results that keep reappearing — alongside the practical habits that separate a correct proof from a nearly-correct one.
Put it into practice
Short, focused challenges that turn a theorem you've read about into one you've actually used.
Try the Geometry Activities →