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Explore GeoGebra Classroom (Part 1)

Explore GeoGebra Classroom (Part 1)
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2020-07-31 11:00
FunctionCoordinate GeometryGeometric ConstructionGraphing
This example demonstrates how to use GeoGebra to draw and manipulate basic geometric figures like points, lines, and polygons, and calculate properties such as centroids. Core math concepts include algebra, geometry, statistics, function graphing, and linear programming. Construction highlights involve commands/objects like Point, Line, Polygon, Centroid, Circle, Segment, Rotate. Suitable for high school students and teachers.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Point(yAxis) → B
  3. Line(A, B) → f
  4. Polygon(C, D, 3) → Vieleck1, g, h, i, E
  5. Polygon(F, G, 4) → Vieleck2, j, k, l, m, H, I
  6. Polygon(J, K, 3) → Vieleck3, n, p, q, L
  7. Point(Circle[P_1, 1.4669696656713795]) → Q_1
  8. Polygon(P_1, Q_1, R_1) → poly1, r_1, p_2, q_2
  9. Point(Circle[S_1, 1.7274258305351349]) → T_1
  10. Polygon(S_1, T_1, U_1) → poly2, u_1, s_1, t_1
  11. Point(Circle[V_1, 1.3423859355639867]) → W_1
  12. Polygon(V_1, W_1, Z_1) → poly3, z_1, v_1, w_1
  13. Point(Circle[A_2, 2.1160340261914503]) → B_2
  14. Polygon(A_2, B_2, C_2) → poly4, c_2, a_2, b_2
  15. Centroid(poly1) → D_2
  16. Centroid(poly2) → E_2
  17. Centroid(poly3) → F_2
  18. Centroid(poly4) → G_2
  19. Centroid(Vieleck3) → H_2
  20. Polygon(U_2, V_2, W_2, Z_2) → Vieleck4, u_2, v_2, w_2, z_2
  21. PointIn(Vieleck4) → A_3
  22. Circle(A_3, 0.5) → c_1
  23. PointIn(Vieleck4) → B_3
  24. Circle(B_3, 0.8) → c
  25. PointIn(Vieleck4) → C_3
  26. Circle(C_3, 1) → d_1
  27. PointIn(Vieleck4) → D_3
  28. Point(Circle[D_3, 1.25]) → E_3
  29. Segment(D_3, E_3) → r
  30. Rotate(E_3, 90°, D_3) → F_3
  31. Rotate(E_3, 180°, D_3) → G_3
  32. Rotate(E_3, 270°, D_3) → H_3
  33. Polygon(H_3, E_3, F_3, G_3) → Vieleck5, h_3, e_3, f_3, g_3
  34. PointIn(Vieleck4) → I_3
  35. Point(Circle[I_3, 0.8]) → J_3
  36. Segment(I_3, J_3) → s
  37. Rotate(J_3, 90°, I_3) → K_3
  38. Rotate(J_3, 180°, I_3) → L_3
  39. Rotate(J_3, 270°, I_3) → M_3
  40. Polygon(J_3, K_3, L_3, M_3) → Vieleck6, j_3, k_3, l_3, m_3
  41. PointIn(Vieleck4) → E_1
  42. Point(Circle[E_1, 1.2]) → F_1
  43. Segment(E_1, F_1) → t
  44. Rotate(F_1, 60°, E_1) → N_3
  45. Rotate(F_1, 180°, E_1) → O_3
  46. Rotate(F_1, 240°, E_1) → P_3
  47. Polygon(F_1, N_3, O_3, P_3) → Vieleck7, f_1, n_3, o_3, p_3
  48. PointIn(Vieleck4) → Q_3
  49. Point(Circle[Q_3, 1.5]) → R_3
  50. Segment(Q_3, R_3) → b
  51. Rotate(R_3, 30°, Q_3) → S_3
  52. Rotate(R_3, 180°, Q_3) → T_3
  53. Rotate(R_3, 210°, Q_3) → U_3
  54. Polygon(R_3, S_3, T_3, U_3) → Vieleck8, r_3, s_3, t_3, u_3

AI Drawing Prompt Reference

On a coordinate plane, place two points on the y-axis and connect them with a line. Draw three polygons: a triangle, a quadrilateral, and another triangle. Then, using four different centers, draw circles with given radii, and on each circle place a point to form a triangle with the center and another point. Find the centroids of these four triangles and the third polygon. Next, draw a quadrilateral and place several points inside it, using each as a center for circles of varying radii. On one circle, take a point and rotate it to form a square; on another, form another square; on a third, form a rhombus. Finally, place one more point inside the quadrilateral.
The prompt above was compiled from the original drawing commands and is for reference only.