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Red and Blue Polygons Perimeters

Red and Blue Polygons Perimeters
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2018-10-31 08:25
PolygonFunctionTrigonometryGeometric ConstructionSlider Animation
This example demonstrates the relationship between red and blue polygon perimeters and their intersection points. It involves core math concepts like polygon perimeter, sine function, linear equations, intersection, exponential functions, and secant line. Constructed using GeoGebra commands such as Circle, Rotate, Polygon, Segment, Tangent, Intersect, Mirror, PointIn, Perimeter, and Distance. Suitable for high school mathematics education to understand the connection between polygon perimeters and function graphs.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Rotate(B, (360 / n)°, A) → B'
  3. Polygon(B, B', n) → poly1, f, q, r, s, t, a, b, d, e, f_1, g_1, g, h_1, i_1, j_1, k_1, l_1, m_1, n_1, p_1, q_1, r_1, h, s_1, C, D, E, F, G, H, I, J, K, i, L, M, N, O, P, Q, R, S, T, U, j, V, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, k, l, m, p
  4. Segment(A, B) → t_1
  5. Circle(G_1, H_1) → c_1
  6. Tangent(H_1, c_1) → a_1,
  7. Rotate(H_1, (360°) / n, G_1) → I_1
  8. Tangent(I_1, c_1) → b_1,
  9. Intersect(a_1, b_1) → J_1
  10. Mirror(J_1, H_1) → K_1
  11. Polygon(K_1, J_1, n) → poly2, d_1, m_2, n_2, p_2, q_2, r_2, s_2, t_2, a_2, b_2, c_2, e_1, d_2, e_2, f_3, g_3, i_3, j_3, k_3, l_3, m_3, n_3, f_2, p_3, L_1, M_1, N_1, O_1, P_1, Q_1, R_1, S_1, T_1, g_2, U_1, V_1, W_1, Z_1, A_2, B_2, C_2, D_2, E_2, F_2, h_2, G_2, H_2, I_2, J_2, K_2, L_2, M_2, N_2, O_2, i_2, j_2, k_2, l_2
  12. Segment(G_1, H_1) → h_3
  13. PointIn(poly1) → Pointpoly1_1
  14. PointIn(poly2) → Pointpoly2
  15. Perimeter(poly1) → perimeterpoly1
  16. PointIn(poly1) → Pointpoly1
  17. Distance(B', B) → distanceB'B

AI Drawing Prompt Reference

Draw a figure with red and blue polygons, where the red polygon is formed by points A and B through rotation, and the blue polygon is generated by mirroring and rotating. Calculate and display the perimeter of the red polygon and the distance between two points.
The prompt above was compiled from the original drawing commands and is for reference only.