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Trap Kites Construction

Trap Kites Construction
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2015-12-09 21:21
PolygonTrigonometryCoordinate GeometryGeometric ConstructionGraphing
This example demonstrates the geometric construction of a special kite known as a 'trap kite'. It involves core math concepts like polygon construction, coordinate geometry, trigonometry, and function graphing. Key GeoGebra commands used include Segment, Line, Circle, Intersect, Polygon, and Point for point-line-circle intersection and polygon formation. Suitable for high school mathematics teaching, focusing on geometric constructions and function property exploration.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(A, C) → b
  3. Line(B, b) → c
  4. Circle(C, Distance[A, B]) → d
  5. Intersect(d, c, 2) → D
  6. Segment(C, D) → e
  7. Polygon(A, B, D, C) → poly1, a_1, b_1, d_1, c_1
  8. Segment(E, F) → f
  9. Segment(F, G) → g
  10. Line(E, g) → h
  11. Point(h) → H
  12. Segment(G, H) → i
  13. Polygon(E, F, G, H) → poly2, e_1, f_1, g_1, h_1
  14. Point(yAxis) → J
  15. Segment(I, J) → j
  16. Segment(J, K) → k
  17. Circle(K, J) → p
  18. Circle(I, J) → q
  19. Intersect(p, q, 2) → L
  20. Polygon(I, J, K, L) → poly3, i_1, j_1, k_1, l