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Finding the Sum of Interior Angles of a Polygon

Finding the Sum of Interior Angles of a Polygon
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2015-01-27 19:34
PolygonAngleSlider Animation
In collections Angles in polygons Exploring Interior and Exterior Angles of Polygons
This example uses a slider animation to show how different polygons can be divided into triangles, helping students discover the relationship between the number of sides and the sum of interior angles. Key concepts include polygons and angles. It utilizes commands like Polygon and Segment in GeoGebra. Suitable for middle school and above students to explore the sum of interior angles of polygons.

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, D, E, F, G, H, I, J, K, c, L, M, N, O, P, Q, R, S, T, d, e, f, g, h, i
  2. Segment(B, D) → c_1
  3. Segment(B, E) → d_1
  4. Segment(B, F) → e_1
  5. Segment(B, G) → f_1
  6. Segment(B, H) → g_1
  7. Segment(B, I) → h_1
  8. Segment(B, J) → i_1
  9. Segment(B, K) → j_1
  10. Segment(B, L) → k_1
  11. Segment(B, M) → l_1
  12. Segment(B, N) → m_1
  13. Segment(B, O) → n_1
  14. Segment(B, P) → p_1
  15. Segment(B, Q) → q_1
  16. Segment(B, R) → r_1
  17. Segment(B, S) → s_1
  18. Segment(B, T) → t_1