Distance Between Two Points by RV'SMath

Distance Between Two Points by RV'SMath
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2018-09-06 22:49
This example demonstrates how to use GeoGebra to show the distance between two points. Key mathematical concepts include the distance formula and vectors. Commands such as Segment, Point, Vector, and Rotate are used to construct the distance. Suitable for students learning coordinate geometry.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, A) → h
  4. Segment(D, E) → i
  5. Point(p) → F
  6. Point(p) → G
  7. Point(p) → H
  8. Point(p) → I
  9. Segment(H, I) → j
  10. Segment(F, G) → k
  11. Point(p) → J
  12. Point(p) → K
  13. Segment(K, J) → l
  14. Point(p) → L
  15. Point(p) → M
  16. Segment(M, L) → m
  17. Point(p) → N
  18. Point(p) → O
  19. Segment(N, O) → n
  20. Point(p) → R
  21. Point(p) → S
  22. Segment(R, S) → r
  23. Point(p) → T
  24. Point(p) → U
  25. Segment(T, U) → s
  26. Point(p) → V
  27. Point(p) → W
  28. Segment(V, W) → t
  29. Point(p) → Z
  30. Point(f) → A_1
  31. Segment(Z, A_1) → b
  32. Point(p) → B_1
  33. Point(p) → C_1
  34. Segment(B_1, C_1) → c
  35. Point(p) → D_1
  36. Point(p) → E_1
  37. Segment(D_1, E_1) → d
  38. Point(Circle[P, 6.93]) → Q
  39. Segment(P, Q) → q
  40. Vector((0, 2), (((4 * Σ))^(0.5), 2)) → u
  41. Point(j) → H_1
  42. Rotate(u, 90°, H_1) → u'
  43. Point(u') → I_1
  44. Point(u) → J_1
  45. Segment(I_1, J_1) → f_1
  46. Point(p) → K_1
  47. Point(p) → L_1
  48. Point(p) → M_1
  49. Point(p) → N_1
  50. Point(p) → O_1
  51. Point(p) → P_1
  52. Point(p) → Q_1
  53. Point(p) → S_1
  54. Segment(K_1, L_1) → g_1
  55. Segment(M_1, N_1) → h_1
  56. Segment(O_1, P_1) → i_1
  57. Segment(Q_1, S_1) → j_1
  58. Segment(R_1, T_1) → k_1
  59. Segment(U_1, V_1) → l_1
  60. Segment(W_1, Z_1) → m_1
  61. Segment(W_2, Z_2) → m_2
  62. Segment(W_3, Z_3) → m_3
  63. Segment(A_2, B_2) → n_1

AI Drawing Prompt Reference

Draw a diagram showing the distance between two points. Include points A and B connected by a line segment. Add a circle with center P and radius 6.93. Also include a vector u rotated to u'. Connect I_1 and J_1 to form line segment f_1. The diagram should clearly illustrate the distance formula and vector rotation concepts, suitable for learning coordinate geometry.
The prompt above was compiled from the original drawing commands and is for reference only.