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Explore Sum of Interior Angles

Explore Sum of Interior Angles
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2017-03-17 23:56
TrianglePolygonAngleCoordinate GeometryGeometric Construction
This example demonstrates the exploration of the sum of interior angles. Key mathematical concepts include the theorem of the sum of interior angles of a triangle. Using GeoGebra commands such as Polygon, Angle, Point, etc., a dynamic triangle can be constructed to observe the changes in the sum of its interior angles. Suitable for middle school and above students to learn geometric construction and triangle properties.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Angle(A, B, C) → α
  3. Angle(B, C, A) → β
  4. Angle(C, A, B) → γ
  5. Point(xAxis) → D
  6. Point(xAxis) → E
  7. Rotate(D, Angle[A, B, C], E) → D'
  8. Angle(D, E, D') → δ
  9. Rotate(D', Angle[B, C, A], E) → D''
  10. Angle(D', E, D'') → ε
  11. Rotate(D'', Angle[C, A, B], E) → D'''
  12. Angle(D'', E, D''') → ζ
  13. Circle((17, 0), 1) → f
  14. Sequence(Segment[(17, 0), (17 + cos(π / 100 * d), sin(π / 100 * d))], d, 1, 100) → list1