Sum of Interior Angles of a Polygon (Dynamic Demonstration)

Sum of Interior Angles of a Polygon (Dynamic Demonstration)
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2020-09-01 14:05
This GeoGebra example demonstrates the sum of interior angles of a polygon as the number of sides changes, visually illustrating the (n−2)×180° rule. Core mathematical concepts include the polygon interior angle sum theorem, convex polygon properties, angle measurement, and sequences. Construction highlights: the example uses GeoGebra commands such as Sequence to generate vertex sequences, Polygon to construct polygon objects, and LaTeX for angle labels and computed results; key objects include sides, conv, poly, sidelist, text2, and various list/operation variables for slider-driven control. Suitable for middle school geometry and high school mathematics instruction, classroom demonstration, and independent exploration.

GeoGebra Commands & Parameters

  1. Sequence(A + (llist(sides - ii); (alist(sides - ii) * π)), ii, 0, sides - 1) → vlist
  2. Polygon(vlist) → poly
  3. Sequence(Segment[A, vlist(ii)], ii, 2, sides - 1) → dlist
  4. LaTeX(s4, true, true) → text2