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Area of a Trapezoid by Agida Manizade

Area of a Trapezoid by Agida Manizade
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2014-11-21 14:57
PolygonCoordinate GeometryGeometric Construction
This example demonstrates the method to calculate the area of a trapezoid. Key mathematical concepts include trapezoid, right triangle, and polygon. By constructing the two parallel sides, midpoints, intersection points, and rotations, the example uses commands like Line, Point, Polygon, Midpoint, Intersect, and Rotate in GeoGebra. Suitable for middle and high school students to learn geometric construction and area calculation.

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