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Properties of a Parallelogram by powere

Properties of a Parallelogram by powere
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2018-08-13 07:07
PolygonAngleGeometric Construction
This example demonstrates the properties of a parallelogram using an interactive applet. Key mathematical concepts include parallel lines, equal opposite sides, equal opposite angles, and bisecting diagonals. It is constructed using GeoGebra commands such as Intersect, Line, Point, Polygon, Segment, and Angle. Suitable for middle school and above students to explore geometric properties.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → B
  2. Line(B, A) → a
  3. Line(A, xAxis) → b
  4. Line(B, b) → c
  5. Point(c) → C
  6. Line(C, a) → d
  7. Intersect(b, d) → D
  8. Intersect(c, d) → E
  9. Polygon(B, A, D, E) → poly1, b_1, a_1, d_1, e
  10. Segment(B, D) → f
  11. Segment(A, E) → g
  12. Intersect(f, g) → F
  13. Segment(B, F) → h
  14. Segment(F, D) → i
  15. Segment(E, F) → j
  16. Segment(F, A) → k
  17. Angle(E, F, D) → α
  18. Angle(D, F, A) → β
  19. Angle(A, F, B) → γ
  20. Angle(B, F, E) → δ
  21. Angle(D, E, B) → ε
  22. Angle(B, A, D) → ζ
  23. Angle(A, D, E) → η
  24. Angle(E, B, A) → θ
  25. Angle(E, B, F) → ι
  26. Angle(F, B, A) → κ
  27. Angle(B, A, F) → λ
  28. Angle(F, A, D) → μ
  29. Angle(F, E, B) → ν
  30. Angle(D, E, F) → ξ
  31. Angle(F, D, E) → ο
  32. Angle(A, D, F) → ρ
  33. Polygon(A, D, E, B) → poly2, a_2, d_2, e_1, b_2
  34. Segment(A, E) → p
  35. Segment(B, D) → s
  36. Segment(A, E) → r
  37. Segment(B, D) → c_1