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Exploring Properties of a Kite

Exploring Properties of a Kite
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2017-11-15 13:46
PolygonAngleGeometric Construction
This GeoGebra applet demonstrates a kite and helps students discover its properties interactively. Key mathematical concepts include the diagonal properties and symmetry of the kite. Using commands like Circle, Intersect, Segment, Midpoint, Angle, Polygon, Mirror, students can visually understand the geometric characteristics of the kite. Suitable for middle school and above students as an aid in learning kite properties.

GeoGebra Commands & Parameters

  1. Circle(A, B_1) → c
  2. Circle(C, D_1) → d
  3. Intersect(c, d, 1) → D
  4. Intersect(c, d, 2) → B
  5. Segment(D, C) → a
  6. Segment(C, B) → b
  7. Segment(D, A) → e
  8. Segment(A, B) → f
  9. Midpoint(B, D) → E
  10. Segment(B, E) → g
  11. Segment(E, D) → h
  12. Segment(E, A) → i
  13. Segment(E, C) → j
  14. Angle(C, B, E) → α
  15. Angle(E, B, A) → β
  16. Angle(B, A, E) → γ
  17. Angle(E, A, D) → δ
  18. Angle(A, D, E) → ε
  19. Angle(E, D, C) → ζ
  20. Angle(D, C, E) → η
  21. Angle(E, C, B) → θ
  22. Angle(D, E, A) → ι
  23. Angle(B, A, D) → κ
  24. Angle(C, B, A) → λ
  25. Angle(A, D, C) → μ
  26. Angle(D, C, B) → ν
  27. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  28. Mirror(A, i) → A'
  29. Mirror(B, i) → B'
  30. Mirror(C, i) → C'
  31. Polygon(A', B', C') → poly1', c', a', b'
  32. Polygon(A, B, D) → poly2, d_1, a_2, b_2
  33. Mirror(A, g) → A'_1
  34. Mirror(B, g) → B'_1
  35. Mirror(D, g) → D'
  36. Polygon(A'_1, B'_1, D') → poly2', d', a'_1, b'_1