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Trapezoid Area by Casey Hawthorne

Trapezoid Area by Casey Hawthorne
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2016-12-01 07:36
PolygonFunctionGeometric Construction
This example demonstrates how to calculate the area of a trapezoid using geometric construction. Key mathematical concepts include the properties and area formula of a trapezoid. Using GeoGebra commands such as Point, Segment, Line, and Polygon, the construction process is dynamically shown. Suitable for middle school and above students to learn geometry and area calculation.

GeoGebra Commands & Parameters

  1. Point(Circle[A, a]) → B
  2. Segment(A, B) → f
  3. Line(C, f) → g
  4. Point(Circle[C, b]) → D
  5. Segment(C, D) → h
  6. Segment(C, A) → i
  7. Segment(D, B) → j
  8. Circle(C, D) → d
  9. Intersect(d, g) → E, F
  10. Segment(C, F) → k
  11. Polygon(A, C, F, B) → poly1, a_1, c_1, f_1, b_1
  12. Line(A, B) → l
  13. Point(g) → I
  14. Point(Circle[I, c]) → J
  15. Point(l) → M
  16. Point(Circle[M, c]) → N
  17. Segment(M, N) → r
  18. Segment(M, I) → m
  19. Circle(M, N) → e
  20. Intersect(e, l) → G, H
  21. Segment(M, H) → q
  22. Circle(I, J) → s
  23. Intersect(s, g) → K, L
  24. Polygon(M, I, L, H) → poly3, m_2, i_2, l_1, h_1