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Properties of Parallelograms by Janet Gilmore

Properties of Parallelograms by Janet Gilmore
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2015-11-04 01:28
PolygonAngleCoordinate GeometryGeometric Construction
This example allows students to investigate the properties of parallelograms, such as opposite sides being equal, opposite angles being equal, and diagonals bisecting each other. Using GeoGebra commands like Segment, Line, Intersect, Distance, and Angle, dynamic demonstrations of these properties are provided. Suitable for middle school and above students for geometric construction.

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

AI Drawing Prompt Reference

Draw a parallelogram ABCD, connect its diagonals AC and BD, and mark their intersection point E. Measure the lengths of AB, BD, DC, and CA, as well as the angles A, B, C, and D. Draw diagonals AE and BE, and measure the lengths of AE, BE, DE, and CE, as well as the angles AEB and BEA.
The prompt above was compiled from the original drawing commands and is for reference only.