Geometric data structures are specialized formats used to organize and manage geometric information, such as points, lines, and shapes. They enable efficient storage, retrieval, and manipulation of spatial data, which is essential in fields like computer graphics, geographic information systems (GIS), and robotics. Common examples include k-d trees, quad-trees, and bounding volume hierarchies. These structures help optimize various operations, such as searching for nearest neighbors or performing collision detection. By using geometric data structures, algorithms can process complex spatial queries more quickly, improving performance in applications like 3D modeling and computer-aided design (CAD).