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Parallelogram Demonstration by Heidi Clawson

Parallelogram Demonstration by Heidi Clawson
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2016-01-22 04:31
PolygonAngleGeometric Construction
This example demonstrates the geometric properties and calculations of parallelograms. It involves core concepts like the definition of parallelograms, properties of diagonals, angle measurement, distance calculation, and trigonometric applications. The construction uses GeoGebra commands such as Segment, Line, Intersect, Angle, and Distance. It is suitable for high school mathematics teaching to visually understand the geometric characteristics and calculation methods of parallelograms.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(B, C) → b
  3. Line(A, b) → c
  4. Line(C, a) → d
  5. Intersect(c, d) → D
  6. Segment(A, D) → e
  7. Segment(D, C) → f
  8. Angle(D, C, B) → α
  9. Angle(B, A, D) → β
  10. Angle(A, D, C) → γ
  11. Angle(C, B, A) → δ
  12. Line(D, C) → g
  13. Line(A, B) → h
  14. Distance(D, C) → distanceDC
  15. Distance(C, B) → distanceCB
  16. Distance(B, A) → distanceBA
  17. Distance(A, D) → distanceAD
  18. Segment(C, A) → j
  19. Segment(D, B) → k
  20. Intersect(j, k) → E
  21. Distance(C, E) → distanceCE
  22. Distance(E, A) → distanceEA
  23. Distance(D, E) → distanceDE
  24. Distance(E, B) → distanceEB