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Trapezium Area Calculation by toby mcfarlane

Trapezium Area Calculation by toby mcfarlane
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2015-10-09 15:03
PolygonGeometric Construction
This example demonstrates the calculation of trapezium area. Key mathematical concepts include the properties and area formula of a trapezium. Using GeoGebra commands such as Segment, Line, Point, and Polygon, a dynamic trapezium can be constructed and its area calculated. Suitable for middle school and above students to learn geometric construction and area calculation.

GeoGebra Commands & Parameters

  1. Segment(A, B) → AB
  2. Line(C, AB) → L
  3. Point(L) → D
  4. Polygon(C, A, B, D) → poly1, s13, s11, s12, s14
  5. Midpoint(s12) → E
  6. Rotate(D, (((-k) * 180))°, E) → D'
  7. Rotate(C, (((-k) * 180))°, E) → C'
  8. Rotate(E, (((-k) * 180))°, E) → E'
  9. Polygon(D', C', E') → poly4, s43, s42, s41
  10. Polygon(C, A, B, E) → poly3, s34, s32, s31, s33
  11. Polygon(C, D, E) → poly2, s23, s21, s22