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Rhombus Construction by rlrobinso945

Rhombus Construction by rlrobinso945
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2017-12-06 02:36
PolygonCoordinate GeometryGeometric Construction
This example demonstrates the construction of a rhombus, a special type of quadrilateral with all sides of equal length. Using GeoGebra commands such as Segment, Circle, and Intersect, a dynamic construction of the rhombus is shown, allowing for the observation of its properties. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Circle(A, B) → c
  3. Circle(B, A) → d
  4. Intersect(c, d, 1) → C
  5. Circle(C, Radius[d]) → e
  6. Intersect(d, e, 2) → D
  7. Segment(A, C) → g
  8. Segment(C, D) → h
  9. Segment(D, B) → i
  10. Segment(B, A) → j
  11. Segment(C, B) → k
  12. Segment(A, D) → l
  13. Intersect(k, l) → E
  14. Angle(C, E, A) → α
  15. Angle(A, C, D) → β
  16. Angle(D, B, A) → γ
  17. Angle(B, A, C) → δ
  18. Angle(C, D, B) → ε
  19. Polygon(C, A, B, D) → q1, c_1, a, b, d_1
  20. Distance(C, A) → distanceCA
  21. Distance(C, D) → distanceCD
  22. Distance(D, B) → distanceDB
  23. Distance(B, A) → distanceBA
  24. Distance(A, D) → distanceAD
  25. Distance(D, A) → distanceDA