MathPlotAI Logo MathPlotAI

Properties of a Trapezium

Properties of a Trapezium
Loading the math board and drawing, please wait…
2019-02-27 15:34
PolygonAngleTransformation
This example demonstrates the properties of a trapezium. Key mathematical concepts include the definition of a trapezium, properties of diagonals, and midlines. Construction highlights the use of Segment, Line, Midpoint, OrthogonalLine, and Mirror commands. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Line(D, a) → b
  3. Segment(A, D) → c
  4. Midpoint(a) → D_1
  5. OrthogonalLine(D_1, a) → d
  6. Mirror(A, d) → A'
  7. Point(b) → C
  8. Segment(A', C) → c'
  9. Segment(D, C) → e
  10. Segment(C, A) → f
  11. Segment(D, B) → g
  12. Angle(D, A, B) → α
  13. Angle(A, B, C) → β
  14. Angle(B, C, D) → γ
  15. Angle(C, D, A) → δ
  16. Intersect(f, g) → E
  17. Angle(D, E, A) → ε
  18. Angle(C, E, B) → ζ
  19. Distance(A, E) → AE