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Investigation of Kite Diagonal Properties

Investigation of Kite Diagonal Properties
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2015-11-07 03:43
PolygonAngleGeometric Construction
This example guides students to investigate the properties of a kite's diagonals, discovering that the diagonals are perpendicular and the non-vertex diagonal is bisected by the other diagonal. Key mathematical concepts include angles and geometric construction. It uses Segment, Point, Angle, Rotate, Ray, Intersect, and other GeoGebra commands. Suitable for middle school and above students to learn geometric properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Point(Circle[B, a]) → C
  3. Segment(B, C) → b
  4. Angle(B, A, D_1) → α
  5. Rotate(B, α, C) → A'
  6. Ray(A, D_1) → c
  7. Ray(C, A') → d
  8. Intersect(c, d) → D
  9. Segment(A, D) → e
  10. Segment(C, D) → f
  11. Angle(B, C, D) → β
  12. Angle(C, D, A) → γ
  13. Angle(A, B, C) → δ
  14. Segment(A, C) → g
  15. Segment(B, D) → h
  16. Intersect(g, h) → E
  17. Angle(A, E, B) → ε
  18. Segment(A, E) → i
  19. Segment(C, E) → j
  20. Segment(B, E) → k
  21. Segment(D, E) → l