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N-Gon Interior Angles

N-Gon Interior Angles
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2018-08-13 05:59
PolygonAngleGeometric Construction
In collections Chapter 12: The Place of Parallels
This example demonstrates the properties of interior angles in polygons. Key mathematical concepts include the sum of interior angles, geometric construction techniques, and coordinate geometry. Construction involves using the Polygon command to create polygons, LineBisector to construct angle bisectors, Intersect to find intersection points, and Segment to draw segments. Suitable for middle or high school mathematics education to understand polygon properties and geometric construction skills.

GeoGebra Commands & Parameters

  1. Polygon(B, C, n) → poly1, f, q, r, s, t, a, b, c, d, e, f_1, g, g_1, h_1, n_1, p_1, D, A, E, F, G, H, h, I, J, K, L, M, N, O, P, Q, R, i, S, T, U, W, Z, j, k, l, m, p
  2. LineBisector(f) → i_1
  3. LineBisector(g) → j_1
  4. Intersect(i_1, j_1) → V
  5. Segment(V, C) → k_1
  6. Segment(V, D) → l_1
  7. Segment(V, A) → m_1
  8. Segment(V, E) → q_1
  9. Segment(V, F) → r_1
  10. Segment(V, G) → s_1
  11. Segment(V, H) → t_1
  12. Segment(V, I) → a_1
  13. Segment(V, J) → b_1
  14. Segment(V, B) → c_1