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Geometric Shapes in Daily Life

Geometric Shapes in Daily Life
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2019-07-02 13:38
Coordinate GeometryTransformationGeometric Construction
This example demonstrates geometric shapes and transformations through common objects in daily life. It involves core mathematical concepts such as coordinate geometry, geometric transformations, and statistical features. Using GeoGebra commands like Rotate and Polygon, various geometric shapes and transformation effects can be constructed. Suitable for students at junior high school level and above to learn about geometric transformations and statistical features.

GeoGebra Commands & Parameters

  1. Rotate(A + (2 * (C_2 - A)), (t * π / 2), Segment[C_2, D]) → E
  2. Rotate(B_2 + (2 * (D - B_2)), (t * π / 2), Segment[C_2, D]) → G_2
  3. Rotate(D + (2 * (B_2 - D)), (t * π / 2), Segment[B_2, A]) → K
  4. Rotate(C_2 + (2 * (A - C_2)), (t * π / 2), Segment[B_2, A]) → L_2
  5. Rotate(D + (2 * (C_2 - D)), ((-t) * π / 2), Segment[C_2, A]) → M
  6. Rotate(B_2 + (2 * (A - B_2)), ((-t) * π / 2), Segment[C_2, A]) → N
  7. Rotate(C_2 + (2 * (M - C_2)), ((-t) * π / 2), Segment[M, N]) → O
  8. Rotate(A + (2 * (N - A)), ((-t) * π / 2), Segment[M, N]) → P
  9. Rotate(C_2 + (2 * (D - C_2)), ((-t) * π / 2), Segment[B_2, D]) → I
  10. Rotate(A + (2 * (B_2 - A)), ((-t) * π / 2), Segment[B_2, D]) → J
  11. Polygon(O, M, N, P) → q1, o, m, n, p
  12. Polygon(C_2, M, N, A) → q2, c_4, m_1, n_1, a
  13. Polygon(C_2, D, B_2, A) → q3, c_1, d, b, a_1
  14. Polygon(I, D, B_2, J) → q4, i, d_1, b_1, j
  15. Polygon(A, B_2, K, L_2) → q5, a_2, b_2, k, l
  16. Polygon(C_2, D, G_2, E) → q6, c_2, d_2, g, e
  17. Rotate(J + (2 * (I - J)), (t * π / 2), Segment[D, I]) → Q
  18. Rotate(B_2 + (2 * (D - B_2)), (t * π / 2), Segment[D, I]) → R_1
  19. Polygon(D, R_1, Q, I) → q7, d_3, r, q, i_1
  20. Rotate(N + (2 * (M - N)), (t * π / 2), Segment[M, C_2]) → S
  21. Rotate(A + (2 * (C_2 - A)), (t * π / 2), Segment[M, C_2]) → U
  22. Polygon(S, U, C_2, M) → q8, s, u, c_3, m_2
  23. Rotate(P + (2 * (O - P)), ((-t) * π / 2), Segment[M, O]) → V_1
  24. Rotate(N + (2 * (M - N)), ((-t) * π / 2), Segment[M, O]) → W
  25. Polygon(O, V_1, W, M) → q9, o_1, v, w, m_3
  26. Rotate(C_2 + (2 * (A - C_2)), (t * π / 2), Segment[A, N]) → Z
  27. Rotate(M + (2 * (N - M)), (t * π / 2), Segment[A, N]) → A_1
  28. Polygon(N, A, Z, A_1) → q10, n_2, a_3, z_1, f
  29. Rotate(M + (2 * (O - M)), ((-t) * π / 2), Segment[O, P]) → B_1
  30. Rotate(N + (2 * (P - N)), ((-t) * π / 2), Segment[O, P]) → C_1
  31. Polygon(O, P, C_1, B_1) → q11, o_2, p_1, h, f_1
  32. Rotate(M + (2 * (N - M)), (t * π / 2), Segment[N, P]) → D_1
  33. Rotate(O + (2 * (P - O)), (t * π / 2), Segment[N, P]) → E_1
  34. Polygon(P, N, D_1, E_1) → q12, p_2, n_3, g_1, e_1
  35. Rotate(B_1 + (2 * (C_1 - B_1)), ((-t) * π / 2), Segment[C_1, P]) → F_1
  36. Rotate(O + (2 * (P - O)), ((-t) * π / 2), Segment[C_1, P]) → G_1
  37. Polygon(C_1, P, G_1, F_1) → q13, h_1, p_3, j_1, k_1
  38. Rotate(N + (2 * (P - N)), (t * π / 2), Segment[E_1, P]) → H_1
  39. Rotate(D_1 + (2 * (E_1 - D_1)), (t * π / 2), Segment[E_1, P]) → I_1
  40. Polygon(P, H_1, I_1, E_1) → q14, p_4, l_1, q_1, r_1
  41. Rotate(Z + (2 * (A_1 - Z)), (t * π / 2), Segment[A_1, N]) → J_1
  42. Rotate(A + (2 * (N - A)), (t * π / 2), Segment[A_1, N]) → K_1
  43. Polygon(K_1, N, A_1, J_1) → q15, s_1, n_4, t_1, f_2
  44. Rotate(K_1 + (2 * (J_1 - K_1)), (t * π / 2), Segment[A_1, J_1]) → L_1
  45. Rotate(N + (2 * (A_1 - N)), (t * π / 2), Segment[A_1, J_1]) → M_1
  46. Polygon(J_1, L_1, M_1, A_1) → q16, g_2, h_2, i_2, j_2
  47. Rotate(M_1 + (2 * (L_1 - M_1)), (t * π / 2), Segment[L_1, J_1]) → N_1
  48. Rotate(A_1 + (2 * (J_1 - A_1)), (t * π / 2), Segment[L_1, J_1]) → O_1
  49. Polygon(N_1, O_1, J_1, L_1) → q17, k_2, l_2, q_2, r_2