Parts of a Cartesian Plane
Various parts of the cartesian plane are,
- Axes
- Origin
- Quadrants
- Coordinate of a Point
Let’s understand these parts of the Cartesian Plane in detail.
Axes
Cartesian plane is made by intersecting two mutually perpendicular lines, one horizontal line, and one vertical line these are called the axes. We have two axes in the cartesian plane that are,
- x-axis
- y-axis
The x-axis is the horizontal axis whereas the y-axis s the vertical axis.
Origin
The intersection point of the x-axis and the y-axis is called the origin of the cartesian plane. It is denoted by an ordered pair (0, 0)
Cartesian Plane Quadrants
The two intersecting axes X-axis and Y-axis divide the Cartesian plane into four equal parts and these four parts are called the quadrants of the Cartesian Plane. We denote these quadrants as,
- First (I) Quadrant
- Second (II) Quadrant
- Third (III) Quadrant
- Fourth (IV) Quadrant
The image added below shows the axes, origin, and quadrants of the Cartesian Plane.
Coordinate of a Point
Coordinate of a point is the address of the point in any space (one, two, or three-dimensional), which helps to locate a point in space. For one, dimensional space, coordinates are represented by any real number which gives the distance of the point from the origin i.e., 0.
For two-dimensional space, the coordinates are represented by the ordered pair (x, y) where x and y are referred to as the abscissa and ordinate.
- Abscissa: The distance of a point from the x-axis is called abscissa.
- Ordinate: The distance of a point from the y-axis is called ordinate.
For example, a point with coordinate (1, 3) represents a point that is at 3 unit distance from the y-axis and 1 unit distance from the x-axis.
Cartesian Plane
Cartesian plane is defined as the two-dimensional plane used in the Cartesian coordinate system. This plane is formed by intersecting two perpendicular lines called the x-axis and the y-axis and their intersection is called the origin. This method of distributing the 2-Dimensional space into four areas was first introduced by Rene Descartes in the early 17th century. We can specify any point in this cartesian system by an ordered pair. This order pair is sufficient for telling the position of any point with respect to the origin of the Cartesian system.
In this article, we will learn about, the cartesian plane, parts of the cartesian plane, locating any point in the cartesian, and others.
Table of Content
- Cartesian Plane Definition
- Cartesian Plane Example
- Parts of a Cartesian Plane
- Axes
- Origin
- Cartesian Plane Quadrants
- Coordinate of a Point
- Plotting Points on Cartesian Plane
- One Dimensional Plane(Line)
- Three Dimensional Plane
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