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GeoGebra Geometry Construction Example by Nicoglu Sabina

GeoGebra Geometry Construction Example by Nicoglu Sabina
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2020-12-18 23:02
CirclePolygonTrigonometryCoordinate GeometryGeometric Construction
In collections Flowers and Polygons -IT
This example dynamically demonstrates the geometric relationships between triangles, polygons, and circles. It involves core math concepts like coordinate geometry, geometric construction, function graphing, and trigonometry. The construction uses commands/objects such as Point, Segment, Intersect, Circle, and Polygon as detailed in the summary. Suitable for high school mathematics teaching and geometric learning to understand the construction process of complex geometric figures.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(yAxis) → B
  3. Segment(A, B) → f
  4. Point(xAxis) → C
  5. Segment(B, C) → g
  6. Segment(C, D) → h
  7. Segment(D, A) → i
  8. Intersect(xAxis, yAxis) → E
  9. Point(h) → F
  10. Circle(E, F) → c
  11. Polygon(A, G, 5) → poligon1, j, k, l, m, n, H, I, J
  12. Polygon(B, K, 5) → poligon2, p, q, r, s, t, L, M, N
  13. Polygon(C, O, 5) → poligon3, a, b, d, e, f_1, P, Q, R
  14. Polygon(D, S, 5) → poligon4, g_1, h_1, i_1, j_1, k_1, T, U, V
  15. Segment(G, W) → l_1
  16. Segment(W, N) → m_1
  17. Segment(K, Z) → n_1
  18. Segment(Z, R) → p_1
  19. Segment(V, A_1) → q_1
  20. Segment(A_1, O) → r_1
  21. Segment(J, B_1) → s_1
  22. Segment(B_1, S) → t_1
  23. Point(yAxis) → C_1
  24. Point(yAxis) → D_1
  25. Point(xAxis) → E_1
  26. Point(xAxis) → G_1
  27. Polygon(M, D_1, T, B_1, I, G_1, H, W, L, Z, Q, E_1, P, A_1, U, F_1) → poligon5, m_2, b_1, t_2, c_1, i_2, f_2, h_2, w, d_1, l_2, z_1, q_2, e_1, p_2, a_1, u

AI Drawing Prompt Reference

Draw a dynamic geometric construction showing relationships between triangles, polygons, and circles, including coordinate axes, points, segments, and a circle. Construct a pentagon using intersections, then combine these pentagons and segments to form a complex geometric figure, demonstrating applications of coordinate geometry, geometric construction, function graphing, and trigonometry.
The prompt above was compiled from the original drawing commands and is for reference only.