Point (geometry)
A point is a fundamental geometric object that has no dimensions — no length, width, or height — and represents an exact location in space. It is typically denoted by a capital letter and is the most basic building block of all geometric figures. Points are used to define lines, planes, shapes, and every other geometric construction.
Properties of a Geometric Point
| Property | Value | Explanation |
|---|---|---|
| Dimensions | 0 | A point has no length, width, or height |
| Size | Zero | Occupies no area or volume |
| Notation | Capital letter (e.g., A, B, P) | Standard labeling convention |
| Representation | Dot on paper | Visual symbol only, not actual size |
| Collinear points | Points on same line | Three or more points sharing one line |
| Coplanar points | Points on same plane | Points sharing a common flat surface |
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Related Terms
Line (geometry)
A line in geometry is a one-dimensional figure that extends infinitely in both directions and has no endpoints, width, or curvature. It is defined by any two distinct points on it and is the shortest path between those points when considered in a straight path. Lines are foundational to Euclidean geometry and are used to construct angles, polygons, and coordinate systems.
Plane (geometry)
A plane in geometry is a flat, two-dimensional surface that extends infinitely in all directions and has no thickness. It is determined uniquely by any three non-collinear points, by a line and a point not on that line, or by two intersecting or parallel lines. Planes are essential in three-dimensional geometry for describing surfaces, intersections, and spatial relationships.
Angle
An angle is the measure of rotation between two rays (sides) that share a common endpoint called the vertex. Angles are measured in degrees (°) or radians (rad) and describe the amount of turn between two directions. They are fundamental to geometry, trigonometry, physics, and engineering, appearing in everything from architectural blueprints to robotic arm movements.
From Latin "punctum" meaning a small hole or dot, from "pungere" meaning to prick or pierce. The word entered English via Old French "point" in the 13th century. In Greek geometry, the concept was called "semeion" (sign or mark).