MathPlotAI Logo MathPlotAI

Rhombus Properties by Jeff Rice

Rhombus Properties by Jeff Rice
Loading the math board and drawing, please wait…
2020-02-11 09:05
PolygonAngleGeometric Construction
This example demonstrates the properties of a rhombus. Key mathematical concepts include geometry, rhombus, intersection, and midpoints. Using GeoGebra commands such as Segment, Circle, and Intersect, the construction of a rhombus and the measurement of its side lengths, angles, and diagonals are illustrated. Suitable for middle school and above students to explore geometric constructions and properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Circle(A, Distance[A, B]) → c
  3. Point(c) → D
  4. Segment(A, D) → g
  5. Circle(D, Distance[A, D]) → d
  6. Circle(B, Distance[A, B]) → e
  7. Intersect(d, e, 2) → C
  8. Segment(B, C) → h
  9. Segment(C, D) → i
  10. Distance(A, B) → distanceAB
  11. Distance(B, C) → distanceBC
  12. Distance(C, D) → distanceCD
  13. Distance(A, D) → distanceAD
  14. Segment(A, C) → j
  15. Segment(B, D) → k
  16. Intersect(j, k) → E
  17. Distance(A, C) → distanceAC
  18. Distance(B, D) → distanceBD
  19. Distance(A, E) → distanceAE
  20. Distance(B, E) → distanceBE
  21. Distance(C, E) → distanceCE
  22. Distance(D, E) → distanceDE
  23. Angle(A, B, C) → α
  24. Angle(B, C, D) → β
  25. Angle(C, D, A) → γ
  26. Angle(D, A, B) → δ
  27. Angle(A, E, D) → ε
  28. Angle(A, B, E) → ζ
  29. Angle(E, B, C) → η
  30. Angle(B, C, E) → θ
  31. Angle(E, C, D) → ι
  32. Angle(C, D, E) → κ
  33. Angle(E, D, A) → λ
  34. Angle(D, A, E) → μ
  35. Angle(E, A, B) → ν