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Kite Construction and Quadratic Functions

Kite Construction and Quadratic Functions
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2016-02-19 01:55
CircleGeometric Construction
This example demonstrates the construction of a kite and its relationship with quadratic equations, roots, and the incircle. It involves core math concepts like kite properties, quadratic function graphs, and incircle construction. GeoGebra commands used include Point, Polygon, Segment, Angle, PointIn, and Perimeter. Suitable for high school mathematics education to illustrate the connection between geometric constructions and algebraic equations.

GeoGebra Commands & Parameters

  1. Point(yAxis) → L
  2. Polygon(L, K, J, I) → poly1, k, j, i, l
  3. Segment(I, E) → e_1
  4. Polygon(E, F, G, H, A, B, C, D) → poly2, e, f, g, h, a, b, c, d
  5. Segment(H, B) → l_1
  6. Point(l_1) → M
  7. Segment(G, M) → n
  8. Point(l_1) → N
  9. Segment(C, N) → p
  10. Segment(C, P) → q
  11. Segment(D, F) → r
  12. Point(r) → O
  13. Segment(G, O) → s
  14. Segment(I, K) → t
  15. Angle(H, A, B) → HAB
  16. Angle(A, B, C) → ABC
  17. Angle(B, C, D) → BCD
  18. Angle(D, E, F) → DEF
  19. Angle(C, D, E) → CDE
  20. Angle(E, F, G) → EFG
  21. Angle(F, G, H) → FGH
  22. Angle(G, H, A) → GHA
  23. Angle(I, J, K) → IJK
  24. Angle(J, K, L) → JKL
  25. Angle(K, L, I) → KLI
  26. Angle(L, I, J) → LIJ
  27. PointIn(poly2) → Pointpoly2_1
  28. PointIn(poly2) → Pointpoly2
  29. PointIn(poly1) → Pointpoly1
  30. Perimeter(poly1) → a_1
  31. Perimeter(poly2) → b_1
  32. Segment(A, E) → c_1
  33. Angle(H, A, B) → α