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Conditions for Parallelogram Demonstration by Ibrahim El Hage

Conditions for Parallelogram Demonstration by Ibrahim El Hage
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2017-10-13 17:13
PolygonVectorGeometric Construction
In collections Quadrilaterals الرُباعيات
This example demonstrates the conditions and properties of a parallelogram. It involves core mathematical concepts such as parallel lines, diagonals, vectors, and angles. Construction highlights include using GeoGebra commands like Segment, Intersect, Angle, and Polygon. Suitable for high school mathematics education to visually understand geometric properties and proofs of parallelograms.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(C, D) → g
  3. Segment(D, A) → h
  4. Segment(C, B) → i
  5. Segment(D, B) → j
  6. Segment(A, C) → k
  7. Intersect(k, j) → E
  8. Segment(E, B) → l
  9. Segment(E, D) → m
  10. Segment(A, E) → n
  11. Segment(E, C) → p_1
  12. Angle(B, E, A) → α
  13. Angle(D, E, C) → β
  14. Polygon(A, E, B) → t1, b, a, e
  15. Polygon(D, E, C) → t2, c, d, e_1
  16. Polygon(E, B, C) → t3, c_1, e_2, b_1
  17. Polygon(A, E, D) → t4, d_1, a_1, e_3
  18. Angle(C, E, B) → γ
  19. Angle(A, E, D) → δ
  20. Angle(B, D, A) → ε
  21. Angle(D, B, C) → ζ
  22. Angle(A, B, D) → η
  23. Angle(C, D, B) → θ