Questions and Answers
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.
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True or false: A point on the x or y axis is always in a quadrant.
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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).
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