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Perimeter Challenge by spkwan

Perimeter Challenge by spkwan
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2016-01-12 23:28
Coordinate Geometry
This example demonstrates exploring perimeter variations through dynamic geometric constructions. Core math concepts include perimeter calculation, translation transformations, differential equations, special points identification, bar chart plotting, and correlation analysis. GeoGebra commands like Segment, Point, and Intersect are used in the construction. Suitable for high school and above learners to understand the integration of geometric transformations and data analysis.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(C, D) → b
  3. Segment(A, C) → c
  4. Segment(B, D) → d
  5. Point(c) → E
  6. Point(d) → F
  7. Segment(E, F) → e
  8. Point(c) → G
  9. Point(d) → H
  10. Segment(G, H) → f
  11. Point(a) → I
  12. Point(b) → J
  13. Segment(I, J) → g
  14. Segment(K, L) → h
  15. Segment(M, N) → i
  16. Segment(O, P) → j
  17. Segment(M, O) → k
  18. Segment(N, P) → l
  19. Point(k) → Q
  20. Point(l) → R
  21. Segment(Q, R) → m
  22. Point(k) → S
  23. Point(l) → T
  24. Segment(S, T) → n
  25. Point(i) → U
  26. Point(j) → V
  27. Segment(U, V) → p
  28. Point(i) → W
  29. Point(j) → Z
  30. Segment(W, Z) → q
  31. Segment(A_1, B_1) → r
  32. Segment(C_1, D_1) → s
  33. Segment(A_1, C_1) → t
  34. Segment(B_1, D_1) → a_1
  35. Point(t) → E_1
  36. Point(a_1) → F_1
  37. Segment(E_1, F_1) → b_1
  38. Point(t) → G_1
  39. Point(a_1) → H_1
  40. Segment(G_1, H_1) → c_1
  41. Point(s) → J_1
  42. Segment(I_1, J_1) → d_1
  43. Point(r) → K_1
  44. Point(s) → L_1
  45. Segment(K_1, L_1) → e_1
  46. Segment(M_1, N_1) → f_1
  47. Segment(O_1, P_1) → g_1
  48. Segment(M_1, O_1) → h_1
  49. Segment(N_1, P_1) → i_1
  50. Point(h_1) → Q_1
  51. Point(i_1) → R_1
  52. Segment(Q_1, R_1) → j_1
  53. Point(h_1) → S_1
  54. Point(i_1) → T_1
  55. Segment(S_1, T_1) → k_1
  56. Point(f_1) → U_1
  57. Point(g_1) → V_1
  58. Segment(U_1, V_1) → l_1
  59. Point(f_1) → W_1
  60. Point(g_1) → Z_1
  61. Segment(W_1, Z_1) → m_1
  62. Segment(A_2, B_2) → n_1
  63. Segment(C_2, D_2) → p_1
  64. Segment(A_2, C_2) → q_1
  65. Segment(B_2, D_2) → r_1
  66. Point(q_1) → E_2
  67. Point(r_1) → F_2
  68. Segment(E_2, F_2) → s_1
  69. Point(q_1) → G_2
  70. Point(r_1) → H_2
  71. Segment(G_2, H_2) → t_1
  72. Point(n_1) → I_2
  73. Segment(I_2, J_2) → a_2
  74. Point(n_1) → K_2
  75. Point(p_1) → L_2
  76. Segment(K_2, L_2) → b_2
  77. Segment(M_2, N_2) → c_2
  78. Segment(O_2, P_2) → d_2
  79. Segment(M_2, O_2) → e_2
  80. Segment(N_2, P_2) → f_2
  81. Point(e_2) → Q_2
  82. Point(f_2) → R_2
  83. Segment(Q_2, R_2) → g_2
  84. Point(e_2) → S_2
  85. Point(f_2) → T_2
  86. Segment(S_2, T_2) → h_2
  87. Point(c_2) → U_2
  88. Point(d_2) → V_2
  89. Segment(U_2, V_2) → i_2
  90. Point(c_2) → W_2
  91. Point(d_2) → Z_2
  92. Segment(W_2, Z_2) → j_2
  93. Segment(A_3, B_3) → k_2
  94. Segment(C_3, D_3) → l_2
  95. Segment(A_3, C_3) → m_2
  96. Segment(B_3, D_3) → n_2
  97. Point(m_2) → E_3
  98. Point(n_2) → F_3
  99. Segment(E_3, F_3) → p_2
  100. Point(m_2) → G_3
  101. Point(n_2) → H_3
  102. Segment(G_3, H_3) → q_2
  103. Point(k_2) → I_3
  104. Point(l_2) → J_3
  105. Segment(I_3, J_3) → r_2
  106. Point(k_2) → K_3
  107. Point(l_2) → L_3
  108. Segment(K_3, L_3) → s_2
  109. Segment(M_3, N_3) → t_2
  110. Segment(O_3, P_3) → a_3
  111. Segment(M_3, O_3) → b_3
  112. Segment(N_3, P_3) → c_3
  113. Point(b_3) → Q_3
  114. Point(c_3) → R_3
  115. Segment(Q_3, R_3) → d_3
  116. Point(b_3) → S_3
  117. Point(c_3) → T_3
  118. Segment(S_3, T_3) → e_3
  119. Point(t_2) → U_3
  120. Point(a_3) → V_3
  121. Segment(U_3, V_3) → f_3
  122. Point(t_2) → W_3
  123. Point(a_3) → Z_3
  124. Segment(W_3, Z_3) → g_3
  125. Segment(A_4, B_4) → h_3
  126. Segment(C_4, D_4) → i_3
  127. Segment(E_4, F_4) → j_3
  128. Segment(G_4, H_4) → k_3
  129. Segment(A_4, G_4) → l_3
  130. Point(h_3) → I_4
  131. Point(k_3) → J_4
  132. Segment(I_4, J_4) → m_3
  133. Point(h_3) → K_4
  134. Point(k_3) → L_4
  135. Segment(K_4, L_4) → n_3
  136. Segment(B_4, H_4) → p_3
  137. Intersect(a, c) → M_4
  138. Intersect(a, g) → N_4
  139. Intersect(e, g) → O_4
  140. Intersect(d, e) → P_4
  141. Intersect(b, d) → Q_4
  142. Intersect(b, c) → R_4
  143. Segment(M_4, N_4) → q_3
  144. Segment(N_4, O_4) → r_3
  145. Segment(O_4, P_4) → s_3
  146. Segment(P_4, Q_4) → t_3
  147. Segment(Q_4, R_4) → a_4
  148. Segment(R_4, M_4) → b_4