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Isosceles Trapezoid by Alexi

Isosceles Trapezoid by Alexi
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2016-11-29 02:52
PolygonAngleGeometric Construction
This example demonstrates the construction of an isosceles trapezoid, a special type of trapezoid with equal non-parallel sides. Using GeoGebra commands such as Segment, Intersect, and Circle, the construction of the isosceles trapezoid is shown. This example is suitable for middle and high school students learning geometric constructions and trapezoid properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. OrthogonalLine(A, f) → g
  3. OrthogonalLine(B, f) → h
  4. Point(g) → C
  5. Line(C, f) → i
  6. Intersect(h, i) → D
  7. Point(i) → E
  8. Circle(A, E) → c
  9. Segment(A_1, B_1) → f_1
  10. OrthogonalLine(A_1, f_1) → g_1
  11. OrthogonalLine(B_1, f_1) → h_1
  12. Point(g_1) → C_1
  13. Line(C_1, f_1) → i_1
  14. Point(i_1) → E_1
  15. Circle(A_1, E_1) → c_1
  16. Intersect(c_1, i) → F, G
  17. Segment(E, A) → j
  18. Segment(F, B) → k
  19. Segment(F, E) → l
  20. Angle(A, E, F) → α
  21. Angle(F, B, A) → β
  22. Angle(B, A, E) → γ
  23. Angle(E, F, B) → δ