The origin of a Cartesian coordinate plane

In mathematics, the origin of a Euclidean space is a special point, usually denoted by the letter O, used as a fixed point of reference for the geometry of the surrounding space. Mathematics is the body of Knowledge and Academic discipline that studies such concepts as Quantity, Structure, Space and In Geometry, Topology and related branches of mathematics a spatial point describes a specific point within a given space that consists of neither Volume In a Cartesian coordinate system, the origin is the point where the axes of the system intersect. In Mathematics, the Cartesian coordinate system (also called rectangular coordinate system) is used to determine each point uniquely in a plane In Mathematics and its applications a coordinate system is a system for assigning an n - Tuple of Numbers or scalars to each point In Euclidean geometry, the origin may be chosen freely as any convenient point of reference. Euclidean geometry is a mathematical system attributed to the Greek Mathematician Euclid of Alexandria.

The most common coordinate systems are two-dimensional (contained in a plane) and three-dimensional (contained in a space) systems, having two and three perpendicular axes, respectively. Space is the extent within which Matter is physically extended and objects and Events have positions relative to one another In Geometry, two lines or planes (or a line and a plane are considered perpendicular (or orthogonal) to each other if they form congruent The origin divides each of these axes into two halves, a positive side and a negative side. Points can then be located with reference to the origin by giving their numerical coordinates -- that is, their positions along each axis either in the positive or negative direction. In Mathematics and its applications a coordinate system is a system for assigning an n - Tuple of Numbers or scalars to each point The coordinates of the origin are always all zero, for example (0,0) in two dimensions and (0,0,0) in three.

Symmetry with respect to the origin

This graph is symmetric respect with the origin because if flipped upside down, the graph looks the same as it does right-side up

When a graph is symmetric with respect to the origin, it describes a graph that looks the same upside down or right side up. Formally, a graph is symmetric with respect to the origin if it is unchanged when reflected across both the x-axis and y-axis.