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Properties of a Rhombus by Adam Antonio

Properties of a Rhombus by Adam Antonio
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2015-01-25 18:35
PolygonAngle
In collections Properties of Plane Shapes
This interactive demonstrates the geometric properties of a rhombus, covering key concepts like diagonals bisecting each other at right angles, equal sides, sum of interior angles, and supplementary opposite angles. It is constructed using commands such as Segment, Midpoint, OrthogonalLine, Point, Mirror, Polygon, and Angle, making it suitable for middle school and high school students exploring plane geometry.

GeoGebra Commands & Parameters

  1. Segment(A, C) → a
  2. Midpoint(a) → X
  3. OrthogonalLine(X, a) → b
  4. Point(b) → B
  5. Mirror(B, a) → D
  6. Polygon(A, B, C, D) → poly1, a_1, d, b_1, d'
  7. Segment(A, X) → c
  8. Segment(X, C) → e
  9. Segment(B, X) → f
  10. Segment(X, D) → g
  11. Angle(A, B, C) → α
  12. Angle(B, C, D) → β
  13. Angle(C, D, A) → γ
  14. Angle(D, A, B) → δ
  15. Angle(A, X, D) → ε
  16. Angle(A, B, X) → ζ
  17. Angle(X, B, C) → η
  18. Angle(B, C, X) → θ
  19. Angle(X, C, D) → ι
  20. Angle(C, D, X) → κ
  21. Angle(X, D, A) → λ
  22. Angle(D, A, X) → μ
  23. Angle(X, A, B) → ν

AI Drawing Prompt Reference

Draw a rhombus, showing its diagonals bisecting each other at right angles and labeling all four equal sides. Mark the angles at the intersection point of the diagonals, indicating supplementary adjacent interior angles and equal opposite angles.
The prompt above was compiled from the original drawing commands and is for reference only.