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Properties of Parallelograms Demo by Anthony OR 柯志明

Properties of Parallelograms Demo by Anthony OR 柯志明
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2015-09-19 14:40
PolygonAngleVectorGeometric Construction
This example demonstrates the geometric properties of parallelograms, including parallel opposite sides, equal opposite sides, equal opposite angles, and supplementary adjacent angles. Key math concepts involved are properties of parallel lines, congruent triangles, vectors, and angle calculations. GeoGebra commands used include Polygon, Segment, If, Angle, and Intersect for construction. Suitable for middle school and above students learning parallelogram properties and geometric constructions.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Segment(A, D') → d'
  3. If(Distance[D, D'] < stick, true, false) → fit
  4. Segment(A, B) → a'
  5. Segment(B, C) → b'
  6. Segment(D', C) → c'
  7. Angle(B, A, D) → α
  8. Angle(C, B, A) → β
  9. Angle(D, C, B) → γ
  10. Angle(A, D, C) → δ
  11. Angle(B, A, D') → α'
  12. Angle(D', C, B) → γ'
  13. Angle(A, D', C) → δ'
  14. Intersect(Segment[A, C], Segment[B, D]) → O
  15. Segment(A, O) → g
  16. Segment(O, C) → h
  17. Segment(B, O) → i
  18. Segment(O, D) → j
  19. Intersect(Segment[A, C], Segment[B, D']) → O'
  20. Segment(A, O') → g'
  21. Segment(O', C) → h'
  22. Segment(B, O') → i'
  23. Segment(D', O') → j'