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Isosceles Triangle by Simon Levy

Isosceles Triangle by Simon Levy
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2020-02-23 18:13
TriangleAngleGeometric Construction
This example demonstrates the properties and construction of an isosceles triangle. It involves core mathematical concepts like angles, the definition of isosceles triangles, median lines, and rotations. Construction highlights include using commands such as Rotate, Angle, Ray, Segment, and Intersect in GeoGebra. Suitable for middle school and above students learning geometric constructions and property exploration.

GeoGebra Commands & Parameters

  1. Rotate(B, α, A) → B'
  2. Rotate(A, (-β), B) → A'
  3. Angle(A', B, A) → γ
  4. Angle(B, A, B') → δ
  5. Rotate(B, 90° - ε / 2, A) → B'_1
  6. Angle(B, A, B'_1) → ζ
  7. Rotate(A, (-(90° - ε / 2)), B) → A'_1
  8. Angle(A'_1, B, A) → η
  9. Ray(A, B'_1) → f
  10. Ray(B, A'_1) → g
  11. Ray(B, A') → h
  12. Ray(A, B') → i
  13. Segment(A, B) → j
  14. Intersect(f, g) → C
  15. Intersect(f, h) → D
  16. Intersect(g, i) → E
  17. Intersect(h, i) → F
  18. Segment(D, E) → k
  19. Segment(A, C) → l
  20. Segment(C, B) → m
  21. Segment(B, D) → n
  22. Segment(A, E) → p
  23. Angle(A, C, B) → θ
  24. Angle(D, E, F) → ι