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Kite Geometric Construction

Kite Geometric Construction
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2019-10-29 08:52
PolygonAngleTransformationGeometric Construction
This example demonstrates the geometric construction of a kite and its properties. It involves core math concepts like polygons, angles, similarity transformation, Pythagorean theorem, and derivatives. The construction uses commands such as Segment, OrthogonalLine, Mirror, Intersect, Polygon, and Angle in GeoGebra. It is suitable for high school mathematics education to understand the construction and properties of complex geometric figures.

GeoGebra Commands & Parameters

  1. Segment(A, C) → a
  2. OrthogonalLine(B, a) → b
  3. Mirror(B, a) → D
  4. Intersect(b, a) → X
  5. Segment(A, X) → c
  6. Segment(X, C) → d
  7. Segment(B, X) → e
  8. Segment(X, D) → f
  9. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d_1
  10. Angle(A, X, D) → α
  11. Angle(A, B, C) → β
  12. Angle(B, C, D) → γ
  13. Angle(C, D, A) → δ
  14. Angle(D, A, B) → ε
  15. Angle(A, B, X) → ζ
  16. Angle(X, B, C) → η
  17. Angle(B, C, X) → θ
  18. Angle(X, C, D) → ι
  19. Angle(C, D, X) → κ
  20. Angle(X, D, A) → λ
  21. Angle(D, A, C) → μ
  22. Angle(X, A, B) → ν