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Interior Angles of a Polygon

Interior Angles of a Polygon
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2014-04-03 10:38
PolygonAngleGeometric ConstructionSlider Animation
In collections Interior and Exterior of Polygons
This example demonstrates the relationship between the number of sides and the sum of interior angles in polygons. It involves core math concepts like the polygon angle sum formula and angle measurement. Constructed using Polygon, Angle, and Segment commands in GeoGebra, it is suitable for middle school students and beyond to explore geometric properties or for classroom demonstrations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, n) → poly1, a, j, k, l, m, p, q, r, s, t, a_1, b, b_1, c_1, d_1, e_1, f_1, g_1, h_1, i_1, j_1, k_1, c, l_1, m_1, n_1, p_1, q_1, r_1, s_1, t_1, a_2, b_2, d, c_2, d_2, e_2, f_2, g_2, h_2, C, D, E, F, e, G, H, I, J, K, L, M, N, O, P, f, Q, R, S, T, U, V, W, Z, B_1, C_1, g, D_1, E_1, F_1, G_1, H_1, I_1, J_1, K_1, L_1, M_1, h, N_1, O_1, P_1, Q_1, R_1, S_1, T_1, U_1, V_1, i
  2. Angle(C, B, A) → α
  3. Angle(poly1) → β, γ, β_5, β_6, β_7, β_8, β_9, β_{10}, β_{11}, β_{12}, β_{13}, β_{14}, δ, β_{15}, β_{16}, β_{17}, β_{18}, β_{19}, β_{20}, β_{21}, β_{22}, β_{23}, β_{24}, ε, β_{25}, β_{26}, β_{27}, β_{28}, β_{29}, β_{30}, β_{31}, β_{32}, β_{33}, β_{34}, ζ, β_{35}, β_{36}, β_{37}, β_{38}, β_{39}, η, β_1, β_2, β_3, β_4
  4. Segment(A, H) → i_2
  5. Segment(A, G) → j_2
  6. Segment(A, F) → k_2
  7. Segment(A, E) → l_2
  8. Segment(A, D) → m_2
  9. Segment(A, C) → n_2

AI Drawing Prompt Reference

Draw a polygon with adjustable sides using a slider, display the measure of each interior angle, and connect each vertex to the interior of the polygon with line segments to visualize the sum of interior angles, suitable for geometric demonstrations.
The prompt above was compiled from the original drawing commands and is for reference only.