Coordinate Geometry

Board: GSEB Class: 9

Chapter Overview

Coordinate geometry uses the Cartesian plane, defined by perpendicular x and y axes intersecting at the origin. Points are represented as ordered pairs (x, y). The x-coordinate (abscissa) is the horizontal distance from the y-axis, and the y-coordinate (ordinate) is the vertical distance from the x-axis. The four quadrants determine the signs of coordinates. Points are plotted by moving to the x-coordinate on the x-axis, then vertically to the y-coordinate.

Topics Covered

Cartesian Plane
x-axis and y-axis
Ordered Pairs
Quadrants
Plotting Points
Coordinates of Special Points

Key Formulas

Point (x, y): x is abscissa, y is ordinate

Quadrant I: (+, +)

Quadrant II: (-, +)

Quadrant III: (-, -)

Quadrant IV: (+, -)

Real-World Applications

Applications: GPS navigation, computer graphics, maps and location services, game development.

Study Tips

Tip: Practice plotting points in all four quadrants

Tip: Remember the quadrant sign conventions

Tip: Learn to read coordinates from graphs