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Sum of Angles in a Quadrilateral

Sum of Angles in a Quadrilateral
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2016-02-16 00:37
PolygonAngleTrigonometryGeometric Construction
This example demonstrates the property of the sum of angles in a quadrilateral. Key mathematical concepts include quadrilaterals, angles, and trigonometric functions. Using GeoGebra commands such as Polygon, Angle, Rotate, etc., it dynamically shows that the sum of the interior angles of a quadrilateral is always 360 degrees. Suitable for middle school and above students to learn geometry and trigonometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Angle(D, A, B) → α
  3. Angle(A, B, C) → β
  4. Angle(B, C, D) → γ
  5. Angle(C, D, A) → δ
  6. Rotate(E, (-α), F) → E'
  7. Angle(E', F, E) → ε
  8. Rotate(E', (-β), F) → E''
  9. Angle(E'', F, E') → ζ
  10. Rotate(E'', (-γ), F) → E'''
  11. Angle(E''', F, E'') → η
  12. Rotate(E''', (-δ), F) → G
  13. Angle(G, F, E''') → θ
  14. Segment(H, I) → e
  15. Circle(F, e) → f
  16. Textfield(GUESS) → InputBox1