Geometry is the branch of mathematics that deals with shapes, sizes, positions, and properties of space. From identifying basic shapes in kindergarten to proving theorems in high school, geometry develops spatial reasoning that is essential for architecture, engineering, art, and everyday life.

Students begin geometry by learning to recognize and name two-dimensional shapes like triangles, squares, and circles. They explore properties such as the number of sides and corners, then progress to understanding three-dimensional shapes like cubes, spheres, and cylinders.

As students advance, they learn to measure geometric properties. Perimeter measures the distance around a shape, area measures the space inside, and volume measures the space inside a 3D object. These measurements connect geometry to real-world applications like flooring, fencing, and packaging.

Upper-grade geometry introduces angles, coordinate planes, transformations, and the Pythagorean theorem. These concepts build the foundation for trigonometry and calculus while developing logical thinking and proof-writing skills that are valuable across all disciplines.