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Trapezoid Area Calculation by Agida Manizade

Trapezoid Area Calculation by Agida Manizade
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2014-11-21 16:20
PolygonTrigonometryGeometric Construction
In collections Surface Area and Volume
This example demonstrates how to dynamically calculate the area of a trapezoid. Key math concepts include trapezoid definition, area formula, and geometric transformations. GeoGebra commands used are Line, Point, Polygon, Midpoint, Intersect, and Rotate for construction; suitable for middle school students and above to understand geometric constructions and area calculations, or for introductory calculus teaching.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(C, a) → b
  3. Point(b) → D
  4. Point(b) → E
  5. Point(a) → F
  6. Polygon(D, E, F, A) → poly1, d, e, f, a_1
  7. Midpoint(A, D) → G
  8. Line(E, G) → c
  9. Intersect(a, c) → H
  10. Polygon(G, D, E) → poly2, e_1, g, d_1
  11. Rotate(G, (-α), G) → G'
  12. Rotate(D, (-α), G) → D'
  13. Rotate(E, (-α), G) → E'
  14. Polygon(G', D', E') → poly2', e', g', d'
  15. Rotate(G, (-α), G) → G'_1
  16. Rotate(D, (-α), G) → D'_1
  17. Rotate(E, (-α), G) → E'_1
  18. Polygon(G'_1, D'_1, E'_1) → poly2'_1, e'_1, g'_1, d'_1