Origin of Two Dimensional Cartesian coordinate system

Definition

A point where two number lines get bisected perpendicularly on a plane is called the origin of two dimensional cartesian coordinate system.

What is the Origin in 2D Space?

The position of a point on the two dimensional space is defined by considering both horizontal and vertical directions. So, a number line in horizonal direction and another number in vertical direction are used as reference to identify the position of a point.

The two number lines are bisected perpendicularly in the middle of the plane at a point. It is considered as a starting point of all directions. So, it is denoted by zero and it is called the origin of two-dimensional cartesian coordinate system.

Notation

The origin is numerically denoted by zero and it is also literally represented by English alphabet $O$ in geometry. You can denote it by any one of them in bi-dimensional cartesian coordinate system.

Coordinates

The origin is starting point a in both horizontal and vertical directions in 2D cartesian coordinate system. So, it is written in coordinate form as $(0, 0)$ in mathematics.