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Parallelogram Exploration by Rick Cazzato

Parallelogram Exploration by Rick Cazzato
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2018-11-01 08:34
PolygonAngleGeometric Construction
This applet demonstrates a parallelogram to help students discover its properties through interactive manipulation. Key concepts include equal opposite sides, equal opposite angles, and bisected diagonals. Using GeoGebra commands such as Segment, Line, Intersect, etc., students can dynamically adjust the sides and angles of the parallelogram to observe changes in its properties. Suitable for middle school and above students for geometric construction and property exploration.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(A, D) → b
  3. Line(D, a) → c
  4. Line(B, b) → d
  5. Intersect(c, d) → C
  6. Segment(D, C) → e
  7. Segment(B, C) → f
  8. Midpoint(A, C) → E
  9. Segment(A, E) → g
  10. Segment(E, C) → h
  11. Segment(D, E) → i
  12. Segment(E, B) → j
  13. Angle(B, A, E) → α
  14. Angle(D, C, E) → β
  15. Angle(E, A, D) → γ
  16. Angle(C, B, E) → δ
  17. Angle(A, D, E) → ε
  18. Angle(E, B, A) → ζ
  19. Angle(E, D, C) → η
  20. Angle(E, C, B) → θ
  21. Angle(C, E, D) → ι
  22. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  23. Mirror(A, g) → A'
  24. Mirror(B, g) → B'
  25. Mirror(C, g) → C'
  26. Polygon(A', B', C') → poly1', c', a', b'
  27. Polygon(A, B, D) → poly2, d_1, a_2, b_2
  28. Mirror(A, j) → A'_1
  29. Mirror(B, j) → B'_1
  30. Mirror(D, j) → D'
  31. Polygon(A'_1, B'_1, D') → poly2', d', a'_1, b'_1
  32. Angle(B, A, D) → κ
  33. Angle(A, D, C) → λ
  34. Angle(D, C, B) → μ
  35. Angle(C, B, A) → ν
  36. Polygon(A, B, C, D) → poly3, a_3, b_3, c_2, d_2