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Investigate Parallelogram Properties

Investigate Parallelogram Properties
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2015-06-18 15:03
PolygonAngleCoordinate GeometryGeometric Construction
This example allows students to explore the properties of parallelograms. Key mathematical concepts include opposite sides being equal, opposite angles being equal, and diagonals bisecting each other. Using GeoGebra commands such as Segment, Line, Intersect, Distance, and Angle, dynamic demonstrations of parallelogram properties are provided. Suitable for middle school and above students to learn geometric construction and property exploration.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Line(C, a) → b
  3. Segment(A, C) → c
  4. Line(B, c) → d
  5. Intersect(b, d) → D
  6. Segment(C, D) → e
  7. Segment(B, D) → f
  8. Distance(A, B) → distanceAB
  9. Distance(B, D) → distanceBD
  10. Distance(D, C) → distanceDC
  11. Distance(C, A) → distanceCA
  12. Angle(C, A, B) → α
  13. Angle(A, B, D) → β
  14. Angle(B, D, C) → γ
  15. Angle(D, C, A) → δ
  16. Segment(A, D) → i
  17. Segment(B, C) → j
  18. Intersect(i, j) → E
  19. Distance(A, E) → distanceAE
  20. Distance(B, E) → distanceBE
  21. Distance(D, E) → distanceDE
  22. Distance(C, E) → distanceCE
  23. Angle(B, E, A) → ε
  24. Angle(E, A, B) → ζ
  25. Angle(C, A, E) → η