Coordinate Geometry · 24 lessons

Coordinate geometry is one idea repeated: a curve is the set of points that satisfy an equation. Once a shape has an equation, questions about the shape become questions about algebra, and algebra can be checked.

1. 1The Coordinate Plane
2. 2y = mx + c
3. 3Writing a Line as Ax + By = C
4. 4Point-Slope Form of a Line
5. 5The Equation of a Circle
6. 6Center and Radius by Completing the Square
7. 7The Tangent to a Circle at a Point
8. 8Where a Line Meets a Circle
9. 9The Equation of an Ellipse
10. 10The Equation of a Hyperbola
11. 11Coordinate Geometry
12. 12Gradient from Two Points
13. 13The Midpoint of a Segment
14. 14The Distance Between Two Points
15. 15The Area of a Polygon from Coordinates
16. 16The Equation of a Line Through Two Points
17. 17Gradients of Parallel and Perpendicular Lines
18. Quadratic graphs and coordinate geometry (10)
19. 18Polar Coordinates
20. 19Sketching Polar Curves
21. 20Voronoi Diagrams
22. 21The Equation of a Voronoi Edge
23. 22Finding the Nearest Site
24. 23The Toxic Waste Dump Problem
25. 24The Area of a Voronoi Cell
26. Voronoi Diagrams (10)