What is a point in geometry?

In geometry, a point is defined as a precise spot or location in space that has no dimension—meaning it does not have length, width, height, or any measurable size. Points are often represented by dots and labeled with capital letters. The concept of a point is fundamental in geometry because it serves as the basic building block for more complex shapes and structures, such as lines, line segments, and planes.

Understanding that a point has no size helps to grasp the abstract nature of geometric concepts. For instance, in coordinate systems, points are identified by their coordinates, which indicate their position, but those coordinates do not imply any physical size related to the point itself. This notion distinguishes a point from other geometric entities and reinforces its role as a conceptual tool in geometry.