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Trapezoid Area by Eric Werley

Trapezoid Area by Eric Werley
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2017-02-21 06:03
PolygonCoordinate GeometryGeometric Construction
This example demonstrates the calculation of a trapezoid's area. Key mathematical concepts include the definition and area formula of a trapezoid. Using GeoGebra commands such as Vector, Line, Point, and Polygon, the construction process of the trapezoid is dynamically shown. Suitable for middle school and above students to learn geometric construction and area calculation.

GeoGebra Commands & Parameters

  1. Vector(J, K) → u
  2. Line(A, B) → a
  3. Line(C, a) → b
  4. Point(a) → D
  5. Point(a) → E
  6. Point(b) → G
  7. Point(C, u) → F
  8. Polygon(D, E, G, F) → mnohoúhelník1, b_1, e, g, f
  9. OrthogonalLine(D, b) → c
  10. OrthogonalLine(G, a) → h
  11. Intersect(b, c) → H
  12. Intersect(h, a) → I
  13. Segment(D, H) → i
  14. Segment(G, I) → Height
  15. Polygon(D, G, F) → mnohoúhelník2, f_1, d_1, g_1
  16. Polygon(D, E, G) → mnohoúhelník3, g_2, d_2, e_1
  17. Polygon(D, E, G, F) → mnohoúhelník4, d_3, e_2, g_3, f_2