Interactive Exploration of Polygons and Orthocenters

Interactive Exploration of Polygons and Orthocenters
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2017-06-15 22:32
This example demonstrates the orthocenter and symmetry of polygons, particularly triangles. It involves core concepts like polygon construction, orthocenter properties, symmetry transformations, step functions, and tree diagrams. Construction highlights include using commands like Textfield, TableText, Point, Polygon, InputBox for inputs, Slider for dynamic adjustments, and Locus for trajectory tracking. Suitable for high school mathematics education to understand geometric transformations and dynamic relationships.

GeoGebra Commands & Parameters

  1. Textfield(g_1) → InputBox1
  2. Textfield(g_2) → InputBox2
  3. Textfield(g_3) → InputBox3
  4. TableText({{A_1, C_1, D_1, E_1}, {n, g_1(n), g_2(n), g_3(n)}, {p_1, g_1(p_1), g_2(p_1), g_3(p_1)}, {p_2, g_1(p_2), g_2(p_2), g_3(p_2)}, {p_3, g_1(p_3), g_2(p_3), g_3(p_3)}, {p_4, g_1(p_4), g_2(p_4), g_3(p_4)}, {p_5, g_1(p_5), g_2(p_5), g_3(p_5)}}, "|_r") → text1
  5. Point(f) → A
  6. Polygon(B, C, D, E) → poly1, b_1, c_1, d_1, e_1