MathPlotAI Logo MathPlotAI

Properties of a Rhombus by shanlee

Properties of a Rhombus by shanlee
Loading the math board and drawing, please wait…
2019-02-27 15:25
PolygonDerivativeGeometric Construction
This example demonstrates the properties of a rhombus. Key mathematical concepts include geometry, rhombus, rational numbers, ratios, roots, derivatives, and centroid. Using GeoGebra commands such as segment, circle, point, line, midpoint, orthogonal line, intersect, and angle, the construction of a rhombus and exploration of its properties are illustrated. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Segment(A, D) → a
  2. Circle(A, D) → c
  3. Point(c) → B
  4. Line(B, a) → b
  5. Segment(A, B) → d
  6. Segment(B, D) → e
  7. Midpoint(B, D) → E
  8. OrthogonalLine(E, e) → f
  9. Intersect(b, f) → C
  10. Segment(B, C) → g
  11. Segment(C, D) → h
  12. Segment(A, E) → i
  13. Segment(E, C) → j
  14. Segment(B, E) → k
  15. Segment(E, D) → l
  16. Angle(A, E, B) → α
  17. Angle(B, E, C) → β
  18. Angle(C, E, D) → γ
  19. Angle(B, A, E) → δ
  20. Angle(D, A, E) → ε
  21. Angle(D, E, A) → ζ
  22. Angle(B, A, D) → η
  23. Angle(B, C, D) → θ
  24. Angle(A, B, C) → ι
  25. Angle(A, D, C) → κ