Describe the features of a cartesian plane in terms of its axes the direction of axes and its centre?
Question: Describe the features of a cartesian plane in terms of its axes the direction of axes and its centre?
The Cartesian plane, also known as the number plane, is a two-dimensional coordinate system that uses two perpendicular axes to uniquely identify any point on the plane. The horizontal axis is called the x-axis and the vertical axis is the y-axis. The axes intersect at a point called the origin, which has coordinates (0, 0).
The x-axis is typically labeled with positive numbers to the right of the origin and negative numbers to the left. The y-axis is labeled with positive numbers above the origin and negative numbers below.
The Cartesian plane is divided into four quadrants by the x- and y-axes. The quadrants are numbered I, II, III, and IV in a counterclockwise direction, starting in the upper right quadrant.
The center of the Cartesian plane is the origin.
Features of the Cartesian plane in terms of its axes, the direction of the axes, and its center:
- The x- and y-axes are perpendicular to each other.
- The x-axis is horizontal and the y-axis is vertical.
- The origin is the point where the x- and y-axes intersect.
- The origin has coordinates (0, 0).
- The Cartesian plane is divided into four quadrants by the x- and y-axes.
- The center of the Cartesian plane is the origin.
These features allow us to uniquely identify any point on the Cartesian plane by giving its coordinates. For example, the point (5, 3) is located 5 units to the right of the origin and 3 units above the origin.
The Cartesian plane is a fundamental tool in mathematics and physics, and it is used in many different applications, such as graphing functions, solving equations, and analyzing data.
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