Coordinate Geometry Worksheets 🖨️
Navigating the Cartesian Plane
1. Quadrants
The X and Y axes divide the plane into four sections, numbered counter-clockwise:
Q I: (+, +)
Q II: (-, +)
Q III: (-, -)
Q IV: (+, -)
2. Midpoint Formula
To find the exact center between two points, simply average the X values and average the Y values.
Formula: $(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$
3. Distance Formula
Based on the Pythagorean theorem, this formula calculates the shortest line between two points.
Formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$