AlphaGeometry is a cutting-edge AI system for solving geometry problems that surpasses existing technologies. It combines the predictive capability of neural language models with the reasoning power of a rule-driven inference engine to tackle complex geometrical challenges. Utilizing a neuro-symbolic approach, AlphaGeometry consists of a neural language model and a symbolic reasoning engine that work together to discover proofs for intricate geometrical theorems. By generating one billion random geometrical object graphs and deriving all relationships from them, AlphaGeometry ultimately yields 100 million unique training samples, 9 million of which include additional constructions. AlphaGeometry's language model can provide insightful suggestions when faced with geometry problems from international mathematics competitions. This system marks the world's first AI model capable of reaching the bronze medal level at the International Math Olympiad.