Coordinate Geometry
Mapping Locations in the Cartesian Plane
Explore the Cartesian coordinate system by plotting points and identifying coordinates. Click on the plane to place points or use the controls to plot specific coordinates!
Cartesian Plane
Coordinates: (0, 0)
Observation:
Each point on the plane is defined by an ordered pair (x, y) representing its horizontal and vertical positions.
The Mathematics Behind Coordinate Geometry
Key Concepts:
Cartesian Coordinate System uses two perpendicular axes to define positions:
- X-axis: The horizontal number line
- Y-axis: The vertical number line
- Origin: The intersection point (0,0)
- Quadrants: Four regions created by the axes (I, II, III, IV)
- Ordered Pair: (x, y) coordinates specifying a point's position
Applications:
1. Plotting graphs of equations
2. Calculating distances between points
3. Finding midpoints of line segments
4. Solving geometric problems algebraically
