5 Questions
True or false: The Cartesian Coordinate System can only be represented by points on a real number, or coordinate line.
True
True or false: The Cartesian coordinate system extends the concept to a three-dimensional space.
False
True or false: The point where the x-axis and y-axis intersect is called the origin.
True
True or false: Positive numbers on the x-axis are to the left of the origin.
False
True or false: A point on the x or y axis is always in a quadrant.
False
Study Notes
Cartesian Coordinate System
- The system can be represented by real numbers geometrically by points on a real number line or coordinate line.
Expansion to a Plane
- The Cartesian coordinate system extends to a plane (two-dimensional space) by adding a vertical axis.
Axes and Origin
- The horizontal line is called the x-axis, and the vertical line is called the y-axis.
- The point where these two lines intersect is called the origin.
Coordinates and Quadrants
- On the x-axis, positive numbers are to the right, and negative numbers are to the left of the origin.
- On the y-axis, positive numbers are above and negative numbers are below the origin.
- The axes divide the plane into four quadrants.
- The quadrants do not include the axes themselves.
Points in the Cartesian Plane
- There is an infinite number of points in the Cartesian Plane.
- A point on the x or y axis is not in a quadrant.
- A point in the plane can now be represented uniquely by an ordered pair of numbers (x, y).
Test your knowledge of the Cartesian Coordinate System with this quiz! Learn about points, axes, and the origin in this two-dimensional space.
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