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A Shortcut Test for Similar Triangles

A Shortcut Test for Similar Triangles
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2016-02-25 07:59
TriangleAngleGeometric Construction
This example demonstrates a shortcut method for testing triangle similarity. It involves core math concepts like triangle similarity criteria, angle and side relationships. Constructed using GeoGebra commands such as Segment, Rotate, Angle, Line, Intersect, and Polygon. Ideal for high school mathematics education to visually understand triangle similarity criteria.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Rotate(B, α, A) → B'
  3. Angle(B, A, B') → γ
  4. Line(A, B') → b
  5. Rotate(A, (-β), B) → A'
  6. Angle(A', B, A) → δ
  7. Line(A', B) → c
  8. Intersect(b, c) → C
  9. Polygon(A, B, C) → Tri_1, c_1, a_1, b_1
  10. Segment(D, E) → d
  11. Rotate(E, α, D) → E'
  12. Angle(E, D, E') → ε
  13. Line(E', D) → e
  14. Rotate(D, (-β), E) → D'
  15. Angle(D', E, D) → ζ
  16. Line(D', E) → f
  17. Intersect(e, f) → F
  18. Polygon(F, E, D) → Tri_2, d_1, f_1, e_1
  19. Segment(A, C) → h
  20. Segment(B, C) → i
  21. Segment(D, F) → j
  22. Segment(F, E) → k
  23. Angle(D, F, E) → η
  24. Angle(A, C, B) → θ
  25. Segment(E, F) → m
  26. Segment(F, D) → n
  27. Segment(B, C) → p
  28. Segment(C, A) → q