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Trapezium Area by Syeda

Trapezium Area by Syeda
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2016-04-03 08:01
PolygonIntegralGeometric Construction
This example demonstrates the calculation of a trapezium's area. Key mathematical concepts include the properties and area formula of a trapezium. Using GeoGebra commands such as Segment, Polygon, and Midpoint, the dynamic process of calculating the trapezium's area is shown. Suitable for students at the junior high school level and above for geometric construction and area calculation.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. OrthogonalLine(A, a) → b_2
  3. OrthogonalLine(B, a) → c
  4. Point(b_2) → C
  5. OrthogonalLine(C, b_2) → d
  6. Intersect(c, d) → D
  7. Point(d) → E
  8. Point(d) → F
  9. Segment(E, A) → e
  10. Segment(F, B) → f
  11. Polygon(E, A, B, F) → poly1, e_1, a_1, b_1, b
  12. Midpoint(F, B) → G
  13. Rotate(E, α, G) → E'
  14. Rotate(A, α, G) → A'
  15. Rotate(B, α, G) → B'
  16. Rotate(F, α, G) → F'
  17. Polygon(E', A', B', F') → poly1', e', a', b'_1, b'
  18. OrthogonalLine(E, a) → g
  19. Intersect(g, a) → H
  20. Segment(E, H) → h
  21. PointIn(poly1) → Pointpoly1