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Properties of a Parallelogram by B Blackwell

Properties of a Parallelogram by B Blackwell
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2015-06-19 04:13
PolygonAngleCoordinate GeometryGeometric Construction
This example demonstrates the geometric properties of a parallelogram, including parallel opposite sides, equal opposite sides, equal opposite angles, and supplementary adjacent angles. Core mathematical concepts involved are parallel lines, segment length, angle measurement, and polygon construction. The construction uses commands like Line, Intersect, Segment, Distance, Angle, Polygon, and objects such as distanceAB, TextAB, α, β to illustrate these properties. It is suitable for middle school students and above learning parallelogram properties, or for mathematical teaching demonstrations.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(C, a) → b
  3. Line(A, b) → c
  4. Line(A, C) → d
  5. Line(B, b) → e
  6. Line(B, d) → f
  7. Intersect(b, d) → E
  8. Segment(C, A) → g
  9. Intersect(b, f) → G
  10. Segment(B, G) → h
  11. Segment(G, C) → i
  12. Segment(A, B) → j
  13. Distance(A, B) → distanceAB
  14. Distance(C, G) → distanceCG
  15. Distance(A, C) → distanceAC
  16. Distance(B, G) → distanceBG
  17. Angle(G, C, A) → α
  18. Angle(A, B, G) → β
  19. Angle(C, A, B) → γ
  20. Angle(B, G, C) → δ
  21. Segment(A, G) → k
  22. Segment(C, B) → l
  23. Intersect(k, l) → H
  24. Distance(A, H) → distanceAH
  25. Distance(H, G) → distanceHG
  26. Distance(B, H) → distanceBH
  27. Distance(C, H) → distanceCH
  28. Polygon(D, F, I, J) → poly1, d_1, f_1, i_1, j_1