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Exterior Angle Sum of Polygons

Exterior Angle Sum of Polygons
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2013-01-18 10:40
PolygonAngleGeometric Construction
In collections Polygons Exterior Angle sum
This example demonstrates how to investigate the sum of exterior angles of an n-gon using GeoGebra. Key math concepts include polygons, exterior angles, and angle sums. Construction involves commands like Ray, Polygon, Point, Angle, and objects such as a, b, c, d, α, β, γ, δ for angle measurement and calculation. Suitable for middle school and above students to understand the theorem and its applications.

GeoGebra Commands & Parameters

  1. Ray(A, B) → a
  2. Ray(B, C) → b
  3. Ray(C, D) → c
  4. Ray(D, A) → d
  5. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d_1
  6. Point(c) → E
  7. Point(d) → F
  8. Point(a) → G
  9. Point(b) → H
  10. Angle(A, D, E) → α
  11. Angle(B, A, F) → β
  12. Angle(C, B, G) → γ
  13. Angle(D, C, H) → δ

AI Drawing Prompt Reference

Draw a quadrilateral and extend each side to form exterior angles, measure and label the angles, then connect them to show that the sum of the exterior angles is 360 degrees.
The prompt above was compiled from the original drawing commands and is for reference only.