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Kite Properties by Grace Piol

Kite Properties by Grace Piol
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2018-08-29 17:40
PolygonAngleGeometric Construction
This example demonstrates the properties of a kite. Key mathematical concepts include the diagonal properties, symmetry, and isosceles triangle properties of a kite. Using GeoGebra commands such as Segment, Line, Mirror, Intersect, and Angle, the kite can be constructed and its properties observed. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Line(A, C) → g
  3. Segment(B, C) → h
  4. Mirror(B, g) → B'
  5. Mirror(C, g) → C'
  6. Segment(B', C') → h'
  7. Mirror(A, g) → A'
  8. Mirror(B, g) → D
  9. Segment(A', D) → f'
  10. Segment(B, B') → i
  11. Segment(A, C) → j
  12. Intersect(j, i) → D_1
  13. Angle(A, D_1, B) → α
  14. Angle(C, B, A) → β
  15. Angle(A, B', C) → γ
  16. Angle(B, A, B') → δ
  17. Angle(B', C, B) → ε
  18. Angle(B', D_1, A) → ζ
  19. Angle(B, D_1, C) → η
  20. Angle(C, D_1, B') → θ
  21. Segment(A, B) → k
  22. Segment(B, C) → l
  23. Segment(C, B') → m
  24. Segment(B', A) → n
  25. Segment(A, D_1) → p
  26. Segment(D_1, C) → q
  27. Segment(B, D_1) → r
  28. Segment(D_1, B') → s