Geometry (all content)

Geometry is a branch of mathematics that studies shapes, sizes, and the properties of space. It encompasses various subfields, including Euclidean geometry, which focuses on flat surfaces and involves points, lines, angles, and polygons, as well as non-Euclidean geometry, which explores curved spaces. Key concepts include congruence, similarity, and theorems such as Pythagoras’ theorem. Geometry also examines perimeter, area, volume, and the relationships between different geometric entities. Advanced topics include topology and differential geometry. Used in art, architecture, and physics, geometry provides a framework for understanding spatial relationships and is essential in both theoretical and applied mathematics.