Four-Quadrant Coordinate Plane
Visualize two-dimensional space. Target airspace using Cartesian (x, y) coordinates and discover the structural layout, quadrants, and polar transitions of the plane.
Interactive Sonar
Radar Target Tracking
The Cartesian coordinate plane is constructed by overlapping a horizontal axis (x) and a vertical axis (y) intersecting at origin (0, 0). Move sliders to locate aircraft coordinates.
Target Coordinates
(x, y) = (3.0, 4.0)
Polar Coordinate Conversion:
Radius: r = √(x² + y²) = 5.00
Angle: θ = arctan2(y, x) = 53.1°
Angle: θ = arctan2(y, x) = 53.1°
Spatial Properties
Quadrant Anatomy & Signs
The intersection of axes partitions the coordinate plane into four distinct regions, labeled in counter-clockwise sequence starting from the top-right.
Quadrant Layout Matrix
Quadrant II
x < 0, y > 0
(-, +)
Quadrant I
x > 0, y > 0
(+, +)
Quadrant III
x < 0, y < 0
(-, -)
Quadrant IV
x > 0, y < 0
(+, -)
Focus Area Rules
Origin Point (0,0):
The absolute center point. Distances are computed from this point.
X-Axis Intercepts (y = 0):
Any coordinate of form (x, 0) lies directly on the horizontal line.
Y-Axis Intercepts (x = 0):
Any coordinate of form (0, y) lies directly on the vertical line.
Self Evaluation
Cartesian Grid Quiz
Review your core Cartesian coordinate terminology, quadrants, and projections.
Question 1 of 5
Score: 0/0
In which quadrant do both coordinates carry negative values (-x, -y)?
Correct Answer!
Explanation goes here.
Focus Area Vocabulary
- Quadrant I: (+, +) Top-Right
- Quadrant II: (-, +) Top-Left
- Quadrant III: (-, -) Bottom-Left
- Quadrant IV: (+, -) Bottom-Right