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Rhombus Exploration by HGrega

Rhombus Exploration by HGrega
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2016-03-17 21:44
PolygonAngleGeometric Construction
This example demonstrates the geometric properties of a rhombus and the construction of related shapes. It involves core mathematical concepts such as polygons, angles, distances, and geometric constructions. GeoGebra commands like segment, line bisector, intersect, circle, polygon, angle, and distance are used to create the rhombus and associated figures. Suitable for middle school and above students learning plane geometry, geometric constructions, and properties of shapes.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. LineBisector(a) → b
  3. Intersect(b, a) → C
  4. Circle(C, D) → c
  5. Intersect(c, b, 1) → E
  6. Intersect(c, b, 2) → F
  7. Segment(A, F) → d
  8. Segment(F, B) → e
  9. Segment(A, E) → f
  10. Segment(E, B) → g
  11. Polygon(F, A, E, B) → poly1, f_1, a_1, e_1, b_1
  12. Angle(poly1) → α, β, γ, δ
  13. Segment(A, B) → h
  14. Segment(E, F) → i
  15. Intersect(b, a) → G
  16. Distance(A, C) → distanceAC
  17. Distance(F, C) → distanceFC
  18. Distance(B, C) → distanceBC
  19. Distance(E, C) → distanceEC
  20. Polygon(F, A, C) → poly2, c_1, f_2, a_2
  21. Polygon(F, C, B) → poly3, b_2, f_3, c_2
  22. Polygon(C, B, E) → poly4, e_2, c_3, b_3
  23. Polygon(C, E, A) → poly5, a_3, c_4, e_3
  24. Angle(poly2) → ε, ζ, η
  25. Angle(poly3) → θ, ι, κ
  26. Angle(A, E, C) → λ
  27. Angle(B, E, C) → μ
  28. Angle(C, B, E) → ν
  29. Angle(C, A, E) → ξ
  30. Angle(A, C, E) → ο
  31. Angle(B, C, E) → ρ