Isosceles Trapezoid by HamiltonCityABLE

Isosceles Trapezoid by HamiltonCityABLE
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2016-01-21 01:32
This example demonstrates the geometric construction and properties of an isosceles trapezoid, involving core concepts like polygons, angles, circles, and coordinate geometry. Key GeoGebra commands used include Segment, OrthogonalLine, Point, Intersect, Circle, and Angle. Suitable for high school mathematics instruction and geometric construction practice.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. OrthogonalLine(A, a) → b
  3. OrthogonalLine(B, a) → c
  4. Point(b) → C
  5. OrthogonalLine(C, b) → d
  6. Intersect(c, d) → D
  7. Point(d) → E
  8. Segment(E, A) → e
  9. Circle(B, e) → f
  10. Intersect(f, d, 2) → F
  11. Segment(E, F) → g
  12. Segment(F, B) → h
  13. Angle(B, A, E) → α
  14. Angle(A, E, F) → β
  15. Angle(E, F, B) → γ
  16. Angle(F, B, A) → δ