MathPlotAI Logo MathPlotAI

Unmessable Rhombus

Unmessable Rhombus
Loading the math board and drawing, please wait…
2017-10-04 01:54
PolygonAngleGeometric Construction
This example demonstrates an unmessable rhombus, showcasing the geometric properties of a rhombus, including the relationships between angles and side lengths. Using GeoGebra commands such as Circle, Segment, Point, Line, OrthogonalLine, Intersect, and Angle, the construction is precise. Suitable for middle school and above students to learn about the geometric properties and construction of a rhombus.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Circle(B, A) → d
  3. Segment(A, B) → f
  4. Point(d) → C
  5. Line(C, f) → g
  6. OrthogonalLine(C, f) → h
  7. Line(A, h) → i
  8. Intersect(c, g) → D, E
  9. Segment(A, E) → j
  10. Segment(C, E) → k
  11. Segment(B, C) → l
  12. Angle(B, A, E) → α
  13. Angle(E, C, B) → β
  14. Angle(C, B, A) → γ
  15. Angle(A, E, C) → δ
  16. Circle(F, G) → e
  17. Circle(G, F) → p
  18. Intersect(e, p, 1) → H
  19. Circle(H, F) → q
  20. Intersect(p, q, 2) → I
  21. Circle(I, G) → r
  22. Segment(F, H) → m
  23. Segment(G, I) → n
  24. Segment(H, I) → s
  25. Segment(F, G) → t
  26. Angle(G, F, H) → ε
  27. Angle(F, H, I) → ζ
  28. Angle(H, I, G) → η
  29. Angle(I, G, F) → θ