An affine plane is a fundamental concept in geometry that consists of a set of points and lines, where the relationships between them are defined without the need for a specific distance or angle measurement. In an affine plane, parallel lines never intersect, and any two points can be connected by a straight line. This structure allows for the study of geometric properties and transformations, such as translations and scaling. Affine planes can be thought of as a simplified version of Euclidean geometry, where the focus is on the arrangement and properties of points and lines rather than their exact measurements. They are used in various fields, including computer graphics and linear algebra, to model and analyze geometric relationships.