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Exterior Angles of a Polygon by rikeylee

Exterior Angles of a Polygon by rikeylee
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2013-01-18 10:38
PolygonAngleGeometric ConstructionSlider Animation
In collections Polygons Exterior Angle sum
This example demonstrates the sum of exterior angles of a polygon. Key math concepts include the exterior angle theorem for polygons. It is constructed using GeoGebra commands like Ray, Point, Angle, and Polygon, involving objects such as points A, B, a, C, b, c, D, E, F, angles α, β, γ, δ, text2, poly1, c_1, a_1, b_1. Suitable for middle school and above, helping students explore and understand the theorem.

GeoGebra Commands & Parameters

  1. Ray(A, B) → a
  2. Ray(B, C) → b
  3. Ray(C, A) → c
  4. Point(c) → D
  5. Point(a) → E
  6. Point(b) → F
  7. Angle(B, A, D) → α
  8. Angle(C, B, E) → β
  9. Angle(A, C, F) → γ
  10. Polygon(A, B, C) → poly1, c_1, a_1, b_1

AI Drawing Prompt Reference

Draw a polygon and display its exterior angles. Start by constructing the sides of the polygon, then draw the exterior angles at each vertex and label their measures. Use a slider to change the number of sides and observe how the sum of the exterior angles changes, demonstrating the exterior angle theorem.
The prompt above was compiled from the original drawing commands and is for reference only.