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Construction of a Kite by Joseph

Construction of a Kite by Joseph
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2016-11-29 02:59
PolygonAngleGeometric Construction
This example demonstrates the construction of a kite, a special quadrilateral where the diagonals are perpendicular and bisect each other. Using GeoGebra commands such as Segment, Point, Circle, and Intersect, the kite can be accurately constructed. This example is suitable for middle and high school geometry education, helping students understand the properties and construction of kites.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(A, C) → g
  3. Point(g) → D
  4. Point(f) → E
  5. Circle(A, Segment[A, E]) → c
  6. Intersect(c, g, 1) → F
  7. Circle(D, Segment[A, E]) → d
  8. Intersect(d, g, 2) → G
  9. Circle(G, Segment[F, E]) → e
  10. Intersect(d, e, 2) → H
  11. Line(D, H) → h
  12. Angle(H, D, G) → α
  13. Angle(E, A, F) → β
  14. Angle(F, D, H) → γ
  15. Point(h) → I
  16. Circle(I, Segment[A, D]) → k
  17. Intersect(k, f, 2) → J
  18. Line(I, J) → i
  19. Angle(I, J, E) → δ
  20. Angle(D, I, J) → ε
  21. Distance(D, A) → distanceDA
  22. Distance(J, I) → distanceJI