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Squares Rotation

Squares Rotation
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2015-11-01 15:42
PolygonTransformationGeometric Construction
This example demonstrates the dynamic process of rotating squares around a point. It involves core mathematical concepts such as rotation, properties of squares, and geometric transformations. The construction uses commands like Polygon and Rotate in GeoGebra. Suitable for high school geometry transformation teaching or student exploration of geometric properties.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → многоугольник1, a, b, c, d, C, D
  2. Rotate(C, (-α), B) → C'
  3. Polygon(C', B, 4) → многоугольник2, e, f, g, h, E, F
  4. Rotate(B, α, E) → B'
  5. Polygon(E, B', 4) → многоугольник3, i, j, k, l, G, H
  6. Polygon(B', A, 4) → многоугольник4, m, n, p, q, I, J
  7. Rotate(E, (-α), H) → E'
  8. Polygon(E', H, 4) → многоугольник5, r, s, t, a_1, K, L
  9. Polygon(F, E', 4) → многоугольник6, b_1, c_1, d_1, e_1, M, N
  10. Rotate(D, (-α), C) → D'
  11. Polygon(D', C, 4) → многоугольник7, f_1, g_1, h_1, i_1, O, P
  12. Polygon(O, C', 4) → многоугольник8, j_1, k_1, l_1, m_1, Q, R
  13. Polygon(Q, N, 4) → многоугольник9, n_1, p_1, q_1, r_1, S, T
  14. Rotate(A, (-α), D) → A'
  15. Polygon(A', D, 4) → многоугольник10, s_1, t_1, a_2, b_2, U, V
  16. Polygon(I, A', 4) → многоугольник11, c_2, d_2, e_2, f_2, W, Z
  17. Polygon(U, D', 4) → многоугольник12, g_2, h_2, i_2, j_2, A_1, B_1