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Rhombus and Rectangle Geometric Construction

Rhombus and Rectangle Geometric Construction
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2015-10-15 23:37
PolygonAngleGeometric Construction
This example demonstrates how to construct a rhombus and rectangle using GeoGebra commands and analyze their geometric properties. Key math concepts include polygons, parallelograms, angles, distances, and orthogonal lines. Construction highlights involve commands like Segment, Circle, Point, Line, Intersect, Distance, Angle, and OrthogonalLine. Suitable for high school mathematics teaching, focusing on geometric construction and property exploration.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Circle(A, B) → c
  3. Point(c) → C
  4. Segment(A, C) → b
  5. Line(C, a) → d
  6. Line(B, b) → e
  7. Intersect(d, e) → D
  8. Segment(B, D) → f
  9. Segment(C, D) → g
  10. Segment(B, C) → h
  11. Segment(A, D) → i
  12. Distance(A, B) → distanceAB
  13. Distance(A, C) → distanceAC
  14. Distance(C, D) → distanceCD
  15. Distance(D, B) → distanceDB
  16. Intersect(h, i) → E
  17. Angle(B, E, A) → α
  18. Angle(A, E, C) → β
  19. Angle(C, E, D) → γ
  20. Angle(D, E, B) → δ
  21. Angle(A, B, E) → ε
  22. Angle(E, A, B) → ζ
  23. Angle(E, C, A) → η
  24. Angle(C, A, E) → θ
  25. Angle(E, D, C) → ι
  26. Angle(D, C, E) → κ
  27. Angle(E, B, D) → λ
  28. Angle(B, D, E) → μ
  29. Segment(F, G) → j
  30. OrthogonalLine(F, j) → k
  31. Point(k) → H
  32. OrthogonalLine(G, j) → l
  33. OrthogonalLine(H, k) → m
  34. Intersect(l, m) → I
  35. Segment(H, F) → n
  36. Segment(I, G) → p
  37. Segment(H, I) → q
  38. Segment(H, G) → r
  39. Segment(F, I) → s
  40. Distance(H, I) → distanceHI
  41. Distance(F, H) → distanceFH
  42. Distance(F, G) → distanceFG
  43. Distance(I, G) → distanceIG
  44. Distance(F, I) → distanceFI
  45. Distance(H, G) → distanceHG