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Kite Properties by nelsone

Kite Properties by nelsone
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2018-11-01 19:55
PolygonAngleGeometric Construction
This example illustrates the properties of a kite, a special quadrilateral where the diagonals are perpendicular and divide the kite into four congruent triangles. Key mathematical concepts include the definition and properties of kites, as well as geometric constructions. Using GeoGebra commands such as Point, Segment, Line, Mirror, and Intersect, the example dynamically showcases kite properties. Suitable for middle school and above students to explore.

GeoGebra Commands & Parameters

  1. Point(Circle[A, a]) → B
  2. Segment(A, B) → c
  3. Point(Circle[B, b]) → C
  4. Segment(B, C) → d
  5. Line(A, C) → e
  6. Mirror(A, e) → A'
  7. Mirror(B, e) → B'
  8. Segment(A', B') → c'
  9. Mirror(B, e) → B'_1
  10. Mirror(C, e) → C'
  11. Segment(B'_1, C') → d'
  12. Segment(A, C) → f
  13. Segment(B, B') → g
  14. Intersect(g, f) → D
  15. Segment(B, D) → h
  16. Segment(D, B') → i
  17. Angle(g, f) → α
  18. Angle(A, B, C) → β
  19. Segment(A, B') → j
  20. Angle(C, B', A) → γ
  21. Angle(B, C, D) → δ
  22. Angle(D, C, B') → ε
  23. Angle(B, A, D) → ζ
  24. Angle(D, A, B') → η