MathPlotAI Logo MathPlotAI

Parallelogram Maker by Melanie Palma

Parallelogram Maker by Melanie Palma
Loading the math board and drawing, please wait…
2015-02-09 11:42
PolygonAngleGeometric Construction
This example demonstrates how to dynamically construct a parallelogram and explore its properties, including diagonals, angles, side lengths, area, and polynomial functions. It utilizes GeoGebra commands like Line, Intersect, Segment, Angle, Circle, and OrthogonalLine. Suitable for middle school students and above learning geometric constructions and parallelogram characteristics.

GeoGebra Commands & Parameters

  1. Line(P, A) → a
  2. Line(E, a) → b
  3. Line(E, P) → c
  4. Line(A, c) → d
  5. Intersect(b, d) → R
  6. Segment(E, R) → e
  7. Segment(R, A) → f
  8. Segment(A, P) → g
  9. Segment(P, E) → h
  10. Angle(P, E, R) → α
  11. Angle(E, R, A) → β
  12. Angle(R, A, P) → γ
  13. Angle(A, P, E) → δ
  14. Line(L, O) → i
  15. Circle(L, O) → k
  16. OrthogonalLine(L, i) → j
  17. Intersect(k, j, 1) → S
  18. OrthogonalLine(O, i) → l
  19. Segment(L, S) → n
  20. Segment(L, O) → q
  21. Angle(S, L, O) → ζ
  22. OrthogonalLine(O, q) → m
  23. OrthogonalLine(S, n) → p
  24. Intersect(m, p) → B
  25. Segment(O, B) → r
  26. Segment(B, S) → s
  27. Angle(L, O, B) → ε
  28. Angle(O, B, S) → η
  29. Angle(B, S, L) → θ
  30. Segment(E, A) → diag_2
  31. Segment(R, P) → diag_1
  32. Intersect(diag_2, diag_1) → C
  33. Segment(R, C) → diag_1b
  34. Segment(P, C) → diag_1a
  35. Segment(E, C) → diag_2b
  36. Segment(A, C) → diag_2a