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SSS Similarity Investigation

SSS Similarity Investigation
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2014-12-07 16:07
TriangleGeometric Construction
This example demonstrates the meaning behind SSS Similarity for triangles. It involves core math concepts like triangle similarity, ratios, and geometric transformations. Constructed using commands such as Rotate, Angle, Line, Point, Segment, Polygon, Circle, and Intersect. Suitable for high school students exploring geometric properties and understanding the criteria for triangle similarity.

GeoGebra Commands & Parameters

  1. Rotate(A, α, B) → A'
  2. Angle(A, B, A') → β
  3. Line(A', B) → a
  4. Line(B, A) → b
  5. Point(a) → C
  6. Segment(B, C) → d
  7. Segment(B, A) → e
  8. Polygon(C, B, A) → poly1, a_1, c_1, b_1
  9. Point(Circle[D, abs(q)]) → E
  10. Segment(D, E) → c
  11. Rotate(E, α, D) → E'
  12. Angle(E, D, E') → γ
  13. Line(D, E') → f
  14. Point(Circle[D, abs(p)]) → F
  15. Segment(D, F) → g
  16. Circle(D, F) → h
  17. Intersect(h, f, 2) → G
  18. Polygon(G, D, E) → poly2, e_1, g_1, d_1
  19. Angle(B, C, A) → δ
  20. Angle(D, G, E) → ε
  21. Angle(G, E, D) → ζ
  22. Angle(C, A, B) → η