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Diagonals of a Parallelogram

Diagonals of a Parallelogram
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2017-04-04 02:38
MatrixGeometric Construction
This example demonstrates the diagonals of a parallelogram and their properties. It involves core mathematical concepts such as parallelograms, matrices, linear functions, centroids, and ratios. The construction uses GeoGebra commands like Line, Intersect, Polygon, Segment, and Angle. Suitable for middle school students and math enthusiasts exploring geometric constructions and properties.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(C, f) → g
  3. Line(C, A) → h
  4. Line(B, h) → i
  5. Intersect(g, i) → D
  6. Polygon(C, A, B, D) → poly1, c, a, b, d
  7. Segment(C, B) → j
  8. Segment(A, D) → k
  9. Intersect(j, k) → E
  10. Segment(C, E) → l
  11. Segment(E, B) → m
  12. Segment(A, E) → n
  13. Segment(E, D) → p
  14. Angle(E, B, A) → α
  15. Angle(E, C, D) → β
  16. Angle(C, D, E) → γ
  17. Angle(B, A, E) → δ
  18. Angle(E, A, C) → ε
  19. Angle(E, D, B) → ζ
  20. Angle(A, C, E) → η
  21. Angle(D, B, E) → θ
  22. Angle(D, E, C) → ι
  23. Angle(A, E, B) → κ
  24. Angle(B, E, D) → λ
  25. Angle(C, E, A) → μ