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Rotational Symmetry Demo by Irina Boyadzhiev

Rotational Symmetry Demo by Irina Boyadzhiev
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2014-01-21 12:54
PolygonTransformationGeometric Construction
This example demonstrates the concept of rotational symmetry in geometry by rotating a shape to show its symmetric properties. Key math concepts include symmetry, rotation angles, and polygon construction. It uses GeoGebra commands/objects like Corner, Midpoint, Polygon, Segment, Intersect, Rotate, Angle, and Point. Suitable for middle school students and above to learn geometric transformations and symmetry, or for educational demonstrations.

GeoGebra Commands & Parameters

  1. Corner(pic1, 1) → LB
  2. Midpoint(LB, RT) → MM
  3. Polygon(A, B, 3) → poly1, a, a_1, b, C
  4. Midpoint(a) → D
  5. Midpoint(a_1) → E
  6. Segment(A, E) → c
  7. Segment(D, C) → d
  8. Intersect(c, d) → F
  9. Rotate(A, α, F) → A'
  10. Rotate(B, α, F) → B'
  11. Rotate(C, α, F) → C'
  12. Polygon(A', B', C') → poly1', c', a', b'
  13. Polygon(G, H, I, J) → poly2, g, h, i, j
  14. Segment(G, I) → e
  15. Segment(J, H) → f
  16. Intersect(e, f) → K
  17. Rotate(G, α, K) → G'
  18. Rotate(H, α, K) → H'
  19. Rotate(I, α, K) → I'
  20. Rotate(J, α, K) → J'
  21. Polygon(G', H', I', J') → poly2', g', h', i', j'
  22. Rotate(pic1, α, L) → pic1'
  23. Polygon(M, N, 5) → poly3, m_1, n, p, q, r, O, P, Q
  24. Midpoint(p) → R
  25. Midpoint(n) → S
  26. Segment(Q, S) → s
  27. Segment(M, R) → t
  28. Intersect(t, s) → T
  29. Rotate(M, α, T) → M'
  30. Rotate(N, α, T) → N'
  31. Rotate(O, α, T) → O'
  32. Rotate(P, α, T) → P'
  33. Rotate(Q, α, T) → Q'
  34. Polygon(M', N', O', P', Q') → poly3', m', n', o', p', q'
  35. Angle(B, A, C) → β
  36. Angle(B', A', C') → γ
  37. Angle(H, G, J) → δ
  38. Angle(H', G', J') → ε
  39. Segment(G', I') → b_1
  40. Segment(J', H') → c_1
  41. Intersect(c_1, b_1) → U
  42. Angle(N', M', Q') → ζ
  43. Angle(N, M, Q) → η
  44. Segment(T, M') → d_1
  45. Point(d_1) → V
  46. Segment(V, N') → e_1
  47. Segment(V, O') → f_1
  48. Segment(V, P') → g_1
  49. Segment(V, Q') → h_1
  50. Corner(pic1, 2) → RB