Similarity Exercise 3

Similarity Exercise 3
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2016-03-24 14:44
This example demonstrates the similarity of polygons and their geometric properties. Core math concepts include similar triangles, vectors, angles, and geometric construction. It uses commands like Polygon, Point, Vector, Angle, Line, Intersect in GeoGebra. Suitable for high school students learning similarity theory and its applications.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F) → poly1, a, b, c, d, e, f
  2. Polygon(G, H, I, J, K, L) → poly2, g, h, i, j, k, l
  3. Point(h) → P
  4. Vector(O, P) → v
  5. Angle(F, A, B) → α
  6. Angle(A, B, C) → β
  7. Angle(B, C, D) → γ
  8. Angle(C, D, E) → δ
  9. Angle(D, E, F) → ε
  10. Angle(E, F, A) → ζ
  11. Angle(G, H, I) → η
  12. Angle(H, I, J) → θ
  13. Angle(I, J, K) → ι
  14. Angle(J, K, L) → κ
  15. Angle(K, L, G) → λ
  16. Angle(L, G, H) → μ
  17. Line(L, F) → q
  18. Line(I, C) → t
  19. Line(H, B) → a_1
  20. Point(a) → U
  21. Point(g) → V
  22. Vector(U, V) → r
  23. Point(d) → W
  24. Point(j) → Z
  25. Vector(W, Z) → s
  26. Intersect(q, e) → A_1
  27. Intersect(q, e) → B_1
  28. Intersect(q, e) → C_1
  29. Intersect(q, e) → D_1
  30. Intersect(q, e) → E_1
  31. Vector(F_1, G_1) → u