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Leah Pearse - Congruence Postulates

Leah Pearse - Congruence Postulates
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2017-11-17 02:04
TriangleCoordinate GeometryGeometric Construction
This example illustrates the postulates of congruent triangles. It involves key mathematical concepts such as the conditions and properties of congruent triangles. Using GeoGebra commands like Point, Segment, Circle, Angle, Rotate, etc., congruent triangles can be constructed. Suitable for middle and high school students to learn about geometric construction and congruent triangles.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 2]) → B
  2. Segment(A, B) → f
  3. Point(Circle[B, 3]) → C
  4. Segment(B, C) → g
  5. Point(Circle[C, 4]) → D
  6. Segment(C, D) → h
  7. Point(Circle[A_1, 2]) → B_1
  8. Segment(A_1, B_1) → f_1
  9. Point(Circle[B_1, 3]) → C_1
  10. Segment(B_1, C_1) → g_1
  11. Point(Circle[C_1, 4]) → D_1
  12. Segment(C_1, D_1) → h_1
  13. Circle(B, A) → c
  14. Circle(C_1, D_1) → d
  15. Point(Circle[E, 2]) → F
  16. Segment(E, F) → t
  17. Point(Circle[G, t]) → H
  18. Segment(G, H) → i_1
  19. Point(Circle[F, 5]) → I
  20. Segment(F, I) → j_1
  21. Point(Circle[H, 5]) → J
  22. Segment(H, J) → k_1
  23. Angle(I, F, E) → α
  24. Rotate(G, α, H) → G'
  25. Ray(H, G') → l_1
  26. Angle(J, H, G) → β
  27. Point(Circle[K, 8]) → L
  28. Segment(K, L) → m_1
  29. Point(Circle[L, 5]) → M
  30. Segment(L, M) → n_1
  31. Ray(M, N) → p_1
  32. Ray(L, K) → q_1
  33. Intersect(p_1, q_1) → O
  34. Segment(M, O) → r_1
  35. Segment(N, M) → s_1
  36. Angle(N, M, L) → ε
  37. Point(Circle[K_1, 8]) → L_1
  38. Segment(K_1, L_1) → m_2
  39. Point(Circle[L_1, 5]) → M_1
  40. Segment(L_1, M_1) → n_2
  41. Ray(M_1, N_1) → p_2
  42. Ray(L_1, K_1) → q_2
  43. Segment(N_1, M_1) → s_2
  44. Angle(N_1, M_1, L_1) → ε_1
  45. Angle(L_1, M_1, N_1) → ζ
  46. Ray(L_1, K_1) → t_1
  47. Intersect(t_1, s_2) → P
  48. Segment(P, M_1) → c_1