MathPlotAI Logo MathPlotAI

Trapezoid and Deltoid (Kite) Geometric Construction

Trapezoid and Deltoid (Kite) Geometric Construction
Loading the math board and drawing, please wait…
2018-12-05 18:07
CirclePolygonCoordinate GeometryGeometric Construction
This example demonstrates the geometric construction and properties of a trapezoid and a deltoid (kite). It involves core concepts in plane geometry, including polygon properties, tangents, and intersection points. The construction utilizes GeoGebra commands such as Circle, Tangent, Line, Point, Intersect, Polygon, and Segment to define objects and relationships. Suitable for middle school geometry education or mathematical exploration of shape transformations.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Tangent(C, c) → f, g
  3. Line(C, A) → h
  4. Point(h) → D
  5. Tangent(D, c) → i, j
  6. Intersect(f, j) → E
  7. Intersect(g, i) → F
  8. Polygon(C, F, D, E) → q1, c_1, f_1, d, e
  9. Segment(H, I) → l
  10. Polygon(H, J, I) → t1, i_1, h_1, j_1
  11. Line(K, l) → m
  12. Intersect(m, h_1) → M
  13. Intersect(m, i_1) → L
  14. Polygon(H, L, M, I) → q2, h_2, l_1, m_1, i_2
  15. Segment(N, O) → n
  16. Line(Q, N) → p
  17. Point(p) → P
  18. Intersect(Circle[O, (Distance[N, P] / Distance[N, Q] * Distance[O, Q])], Segment[O, Q]) → R,
  19. Segment(O, R) → q
  20. Polygon(N, P, R, O) → q3, n_1, p_1, r, o