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Trapezoid Area Calculation by Beverly Heigre

Trapezoid Area Calculation by Beverly Heigre
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2015-12-03 00:36
PolygonCoordinate GeometryGeometric Construction
In collections Area Formulas
This example demonstrates the calculation of a trapezoid's area. It involves core mathematical concepts such as the definition of a trapezoid, properties of parallel lines, and the area formula for triangles. The construction utilizes GeoGebra commands/objects like Line, Point, Segment, Midpoint, Polygon, Rotate, OrthogonalLine, Intersect, and Angle. It is suitable for middle school students and above learning geometric area calculations, as well as for mathematical teaching demonstrations.

GeoGebra Commands & Parameters

  1. Line(A, B) → a_2
  2. Line(C, a_2) → b_2
  3. Point(b_2) → D
  4. Segment(A, B) → b
  5. Segment(B, D) → d
  6. Segment(D, C) → a
  7. Segment(C, A) → f
  8. Midpoint(d) → E
  9. Polygon(A, B, D, C) → poly1, a_1, b_1, d_1, c_1
  10. Rotate(A, show°, E) → A'
  11. Rotate(B, show°, E) → B'
  12. Rotate(D, show°, E) → D'
  13. Rotate(C, show°, E) → C'
  14. Polygon(A', B', D', C') → poly1', a', b', d', c'
  15. OrthogonalLine(A, a) → g
  16. Intersect(g, a) → F
  17. Segment(A, F) → h
  18. Angle(D, F, A) → α