Geometry Basics
Learn the coordinate plane, Pythagorean theorem, distance formulas, and basic triangle properties.
Lessons
1. Intro
(The Goal)
2. The Coordinate Plane
(Two axes for positioning)
3. Four Quadrants
(Sign patterns by region)
4. Distance Between Two Points
(Pythagorean theorem applied)
5. Pythagorean Theorem
(Right triangle relationship)
6. Common Pythagorean Triples
(Integer right triangles)
7. Manhattan Distance
(Grid-based movement)
8. Quiz: Distance Formulas
(Knowledge check)
9. Problem - Valid Triangle
(Entry problem introduction)
10. Valid Triangle - The Idea
(Triangle inequality)
11. Valid Triangle - Algorithm
(Pseudocode walkthrough)
12. Valid Triangle - Pseudocode
(Implementation ready)
13. Rectangle Area
(Width times height)
14. Rectangle Perimeter
(Sum of all sides)
15. Triangle Area
(Base times height divided)
16. Circle Area and Circumference
(Pi times radius squared)
17. Slope of a Line
(Rise over run)
18. Collinear Points
(Same line check)
19. Quiz: Area and Perimeter
(Knowledge check)
20. Problem - Rectangle Area
(Overlapping rectangles)
21. Rectangle Area - The Idea
(Subtract overlap once)
22. Rectangle Area - Algorithm
(Step by step process)
23. Rectangle Area - Pseudocode
(Implementation ready)
24. Polygon Basics
(Closed shapes with sides)
25. Shoelace Formula
(Polygon area from vertices)
26. Grid-Based Problems
(Cells and coordinates)
27. Reflection and Rotation
(Transforming coordinates)
28. Midpoint Formula
(Center between two points)
29. Parallel and Perpendicular Lines
(Slope relationships)
30. Quiz: Slope and Lines
(Knowledge check)
31. Problem - Valid Square
(Harder geometry validation)
32. Valid Square - The Idea
(Distance pattern)
33. Valid Square - Algorithm
(Distance set approach)
34. Valid Square - Pseudocode
(Implementation ready)
35. Convex Hull
(Smallest enclosing polygon)
36. Area Under Curves
(Approximation via shapes)
37. Bounding Boxes
(Enclosing rectangles)
38. Precision and Rounding
(Floating point issues)
39. Geometry Problem Patterns
(Common techniques)
40. Quiz: Geometry Review
(Knowledge check)
41. Problem - Minimum Area Rectangle
Find rectangle from points
42. Minimum Area Rectangle - Insight
Diagonal points approach
43. Minimum Area Rectangle - Algorithm
Check all diagonal pairs
44. Minimum Area Rectangle - Implementation
The pseudocode
45. Section Recap
What we learned