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Trapezoid Area Calculation by RV'SMath

Trapezoid Area Calculation by RV'SMath
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2016-01-31 15:24
PolygonCoordinate GeometryGeometric Construction
In collections Complex Math
This example demonstrates the calculation of a trapezoid's area. Key mathematical concepts include the properties of a trapezoid and its area formula. Using GeoGebra commands such as Polygon, Vector, and Point, the construction process of the trapezoid is dynamically shown. Suitable for middle school and above students to learn geometry and area calculation.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBox1
  2. Vector((0, 0), (e, 0)) → u
  3. Vector((0, 0), (0, j)) → v
  4. Vector((e, 0), (e, k)) → w
  5. Point(v) → C
  6. Point(w) → D
  7. Point(u) → E
  8. Polygon(F, C, D, E) → poly1, f_2, c_1, d_1, e_1
  9. Rotate(G, 10.45°, F) → G'
  10. Angle(G, F, G') → α
  11. Line(F, G') → l
  12. Intersect(l, m) → H
  13. Rotate(l, (-((2 * 10.45°))), H) → l'
  14. Point(l') → I
  15. Point(u) → J
  16. OrthogonalLine(J, u, xOyPlane) → p
  17. Point(Circle[J, 10.45]) → K
  18. Segment(J, K) → q
  19. Point(q) → L
  20. Segment(F, L) → r