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Trapezoid Area Formula Proof

Trapezoid Area Formula Proof
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2015-04-30 20:40
PolygonAngleCoordinate Geometry
In collections Area of Polygons
This example demonstrates the proof of the trapezoid area formula. Key mathematical concepts include the properties of geometric shapes and area calculation. Using GeoGebra commands such as Polygon, Segment, Angle, etc., a trapezoid is constructed and its area formula is proven. Suitable for students in middle school and above learning geometric proofs.

GeoGebra Commands & Parameters

  1. Polygon(C, A, E) → poly1, e, c, a
  2. Polygon(C, F, E) → poly2, e_1, c_1, f
  3. Polygon(C, D, F) → poly3, f_1, c_2, d
  4. Polygon(D, F, B) → poly4, b, d_1, f_2
  5. Segment(C, A) → g
  6. Segment(A, B) → h
  7. Segment(C, D) → i
  8. Segment(B, D) → j
  9. Segment(C, E) → k
  10. Segment(D, F) → l
  11. Segment(C, F) → m
  12. Angle(C, E, A) → α
  13. Angle(B, F, D) → β
  14. Vector(G, H) → u
  15. Vector(I, J) → v
  16. Vector(M, N) → n
  17. Vector(O, P) → p
  18. Vector(O, Q) → q
  19. Vector(R, S) → w

AI Drawing Prompt Reference

Draw a trapezoid. The trapezoid has two parallel sides and two non-parallel sides. First, draw two parallel lines as the bases. Then, add two non-parallel line segments at the ends of the bases to form the top side. Ensure the trapezoid is correctly shaped and proportions are appropriate.
The prompt above was compiled from the original drawing commands and is for reference only.