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Median Line of an Isosceles Triangle

Median Line of an Isosceles Triangle
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2019-11-27 01:06
TriangleGeometric Construction
In collections Pyramid Puzzles
This example demonstrates the properties of the median line in an isosceles triangle. Key mathematical concepts include isosceles triangles, medians, and orthocenters. Using GeoGebra commands such as Polygon and Midpoint, the construction of an isosceles triangle and the observation of its median and orthocenter properties are illustrated. Suitable for middle school and above students to learn geometric construction and related properties.

GeoGebra Commands & Parameters

  1. Polygon(W, Z, 4) → poly1, g_1, j_1, m_1, n_1, A_1, B_1
  2. Polygon(B_1, A_1, 4) → poly2, p_1, q_1, r_1, s_1, C_1, D_1
  3. Polygon(D_1, C_1, 4) → poly3, t_1, f_2, g_2, h_2, E_1, F_1
  4. Polygon(F_1, E_1, 4) → poly4, i_2, j_2, k_2, l_2, G_1, H_1
  5. Midpoint(W, B_1) → I_1
  6. Midpoint(B_1, D_1) → J_1
  7. Midpoint(D_1, F_1) → K_1
  8. Midpoint(F_1, H_1) → L_1
  9. Polygon(I_1, J_1, 4) → poly5, f, g, h, i, A, B
  10. Polygon(J_1, K_1, 4) → poly6, j, k, l, m, C, D
  11. Polygon(K_1, L_1, 4) → poly7, n, p, q, r, E, F
  12. Midpoint(B, A) → G
  13. Midpoint(A, C) → H
  14. Midpoint(C, E) → I
  15. Polygon(G, H, 4) → poly8, s, t, a, b, J, K
  16. Polygon(H, I, 4) → poly9, c, d, e, f_1, L, M
  17. Midpoint(K, J) → N
  18. Midpoint(J, L) → O
  19. Polygon(N, O, 4) → poly10, k_1, l_1, c_1, d_1, P, Q