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Kite Construction by Courtney Guthrie

Kite Construction by Courtney Guthrie
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2017-11-27 09:21
CirclePolygonTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the geometric construction of a kite and its relationship with a rhombus and a circle. It involves core mathematical concepts such as properties of rhombuses, circle geometry, cosine theorem, indefinite integral, and linear regression. The construction uses commands like Segment, Circle, Point, AngularBisector, Polygon, Line, Mirror, and Intersect. Suitable for high school mathematics education to understand the construction and properties of complex geometric figures.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Circle(A, f) → c
  3. Point(c) → C
  4. Segment(A, C) → g
  5. AngularBisector(B, A, C) → h
  6. Point(h) → D
  7. Polygon(B, A, C, D) → q1, b, a, c_1, d
  8. Segment(E, F) → i
  9. Segment(F, G) → j
  10. Line(E, G) → k
  11. Mirror(F, k) → F'
  12. Polygon(F, E, F', G) → q2, f_1, e, f', g_1
  13. Segment(H, I) → l
  14. Segment(I, J) → m
  15. Circle(H, l) → p
  16. Circle(J, m) → q
  17. Intersect(p, q, 1) → K
  18. Polygon(H, I, J, K) → q3, h_1, i_1, j_1, k_1
  19. Intersect(p, q, 2) → L
  20. Polygon(H, L, J, I) → q4, h_2, l_1, j_2, i_2