MathPlotAI Logo MathPlotAI

Explore the Measurements of a Rectangle

Explore the Measurements of a Rectangle
Loading the math board and drawing, please wait…
2015-10-12 22:35
PolygonAngleCoordinate GeometryGeometric Construction
This example investigates the relationships between the sides, angles, and diagonals of a rectangle. Using GeoGebra commands such as Line, OrthogonalLine, Point, Intersect, etc., it helps students understand the basic properties of a rectangle. Suitable for middle school and above students.

GeoGebra Commands & Parameters

  1. Line(D, C) → a
  2. OrthogonalLine(C, a) → b
  3. Point(b) → B
  4. OrthogonalLine(B, b) → c
  5. OrthogonalLine(D, a) → d
  6. Intersect(c, d) → A
  7. Polygon(A, B, C, D) → poly1, d_1, c_1, b_1, a_1
  8. Distance(A, B) → distanceAB
  9. Distance(B, C) → distanceBC
  10. Distance(C, D) → distanceCD
  11. Distance(D, A) → distanceDA
  12. Segment(A, C) → e
  13. Segment(B, D) → f
  14. Intersect(e, f) → E
  15. Distance(A, C) → distanceAC
  16. Distance(B, D) → distanceBD
  17. Distance(A, E) → distanceAE
  18. Distance(C, E) → distanceCE
  19. Distance(B, E) → distanceBE
  20. Distance(D, E) → distanceDE
  21. Angle(D, A, B) → α
  22. Angle(A, B, C) → β
  23. Angle(B, C, D) → γ
  24. Angle(C, D, A) → δ
  25. Angle(B, E, A) → ε
  26. Angle(C, E, B) → ζ
  27. Angle(D, E, C) → η
  28. Angle(A, E, D) → θ
  29. Angle(E, A, B) → ι
  30. Angle(A, B, E) → κ
  31. Angle(E, B, C) → λ
  32. Angle(B, C, E) → μ
  33. Angle(E, C, D) → ν
  34. Angle(C, D, E) → ξ
  35. Angle(E, D, A) → ο
  36. Angle(D, A, E) → ρ