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Properties of Isosceles Trapezoids by eranderson

Properties of Isosceles Trapezoids by eranderson
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2016-11-15 09:29
PolygonAngleCoordinate GeometryGeometric Construction
This example demonstrates the geometric properties of isosceles trapezoids. It involves core math concepts like polygons, angles, and coordinate geometry. Construction highlights include using GeoGebra commands such as Segment, Circle, Line, Intersect, Distance, and Angle. Suitable for middle school and above students to learn about the characteristics of isosceles trapezoids.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Circle(C, Segment[A, B]) → c
  3. Line(C, A) → g
  4. Line(B, g) → h
  5. Intersect(c, h, 2) → D
  6. Segment(A, C) → i
  7. Segment(C, B) → j
  8. Segment(B, D) → k
  9. Segment(D, A) → l
  10. Segment(D, C) → m
  11. Intersect(f, m) → E
  12. Distance(A, E) → distanceAE
  13. Distance(E, C) → distanceEC
  14. Distance(E, B) → distanceEB
  15. Distance(E, D) → distanceED
  16. Angle(E, A, C) → α
  17. Angle(E, D, A) → β
  18. Angle(D, A, E) → γ
  19. Angle(D, A, C) → δ
  20. Angle(B, D, E) → ε
  21. Angle(B, D, A) → ζ
  22. Angle(D, E, B) → η