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Explore Exterior Angles of a Quadrilateral

Explore Exterior Angles of a Quadrilateral
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2017-03-18 00:06
PolygonAngleGeometric Construction
In collections Angle Relationships and Polygons
This example demonstrates the properties and sum of exterior angles in a quadrilateral. Key math concepts include exterior angles, interior angles, and the polygon interior angle sum theorem. It is constructed using GeoGebra commands like Line, Point, Angle, Sum, and Polygon to form the quadrilateral and its exterior angles, calculating their sum. Suitable for middle school students and above learning polygon geometry or for classroom demonstrations.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(B, C) → b
  3. Line(C, D) → c
  4. Line(D, A) → d
  5. Point(a) → E
  6. Point(d) → F
  7. Point(b) → G
  8. Point(a) → H
  9. Point(c) → I
  10. Point(b) → J
  11. Point(d) → K
  12. Point(c) → L
  13. Angle(B, A, F) → α
  14. Angle(C, B, H) → β
  15. Angle(D, C, J) → γ
  16. Angle(A, D, L) → δ
  17. Sum({α, β, γ, δ}) → ExteriorSum
  18. Polygon(D, A, B, C) → poly1, d_1, a_1, b_1, c_1