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Trapezoid

Trapezoid
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2016-01-11 11:21
PolygonTrigonometryGeometric Construction
This example demonstrates the construction of a trapezoid. Key mathematical concepts include similarity transformations, trigonometry, and the incircle. Using GeoGebra commands such as Polygon, Angle, Distance, etc., it dynamically illustrates the properties of a trapezoid. Suitable for middle school and above students to learn geometric construction and related concepts.

GeoGebra Commands & Parameters

  1. Polygon(C, D, E, F) → poly1, c, d, e, f
  2. Angle(C, D, E) → α
  3. Angle(E, F, C) → β
  4. Angle(F, C, D) → γ
  5. Angle(D, E, F) → δ
  6. Distance(C, D) → distanceCD
  7. Distance(D, E) → distanceDE
  8. Distance(E, F) → distanceEF
  9. Distance(F, C) → distanceFC
  10. Segment(C, E) → a
  11. Segment(F, D) → b
  12. Distance(C, E) → distanceCE
  13. Distance(F, D) → distanceFD
  14. Slope(c) → m
  15. Slope(e) → m_1
  16. Slope(f) → m_2
  17. Slope(d) → m_3