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Trapezium Properties Demo by KS Wong

Trapezium Properties Demo by KS Wong
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2018-04-19 09:53
PolygonAngleGeometric Construction
This example demonstrates the geometric properties of a trapezium, covering definitions, midsegment, parallel line properties, and angle relationships. It uses commands like Segment, Line, Point, Polygon, Midpoint, OrthogonalLine, Intersect, and Angle for construction, suitable for middle school and above learning geometric proofs and constructions.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a_2
  2. Line(C, a_2) → b_2
  3. Point(b_2) → D
  4. Polygon(A, C, D, B) → P, a_1, a, d, b
  5. Midpoint(D, B) → E
  6. Line(A, B) → e
  7. OrthogonalLine(D, e) → f
  8. Intersect(f, e) → F
  9. Midpoint(a_2) → L
  10. Segment(A, D) → c
  11. Segment(C, B) → g
  12. Angle(B, C, D) → α
  13. Angle(C, B, A) → β
  14. Angle(C, D, A) → γ
  15. Angle(B, A, D) → δ
  16. Angle(A, C, D) → ε
  17. Angle(C, D, B) → ζ
  18. Angle(D, B, A) → η
  19. Angle(B, A, C) → θ