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Polygon Area Measurement by Shum Kwok Ching

Polygon Area Measurement by Shum Kwok Ching
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2017-04-04 17:24
PolygonCoordinate GeometryGeometric Construction
This example demonstrates how to measure the area of a polygon. Key mathematical concepts include the calculation of polygon area. It uses GeoGebra commands such as Segment, Vector, Point, etc., for geometric construction. Suitable for middle school and above students or teachers for teaching purposes.

GeoGebra Commands & Parameters

  1. Segment(X0, X0 + (0, 0.25)) → g
  2. Segment(X0, X0 + (0, mark)) → h
  3. Segment(X0 + (1, 0), X0 + (1, mark)) → i
  4. Vector(X0 + (0, mark / 2), X0 + (1, mark / 2)) → u
  5. Vector(X0 + (1, mark / 2), X0 + (0, mark / 2)) → v
  6. Segment(Y0 - (mark, 0), Y0) → j
  7. Segment(Y0 - (mark, 1), Y0 - (0, 1)) → k
  8. Vector(Y0 - (mark / 2, 1), Y0 - (mark / 2, 0)) → w
  9. Vector(Y0 - (mark / 2, 0), Y0 - (mark / 2, 1)) → z
  10. Segment((3, -1), (3, 3)) → l
  11. Point(yAxis) → A
  12. Intersect(xAxis, yAxis) → B
  13. Point(xAxis) → C
  14. Point(xAxis) → E
  15. Point(yAxis) → F
  16. Rotate(A, (-180° * t1), D) → A'
  17. Rotate(F, (-180° * t1), D) → F'
  18. Rotate(D, (-180° * t1), D) → D'
  19. Polygon(A', F', D') → poly1, d', a', f'
  20. Rotate(C, (180° * t2), D) → C'
  21. Rotate(D, (180° * t2), D) → D'_1
  22. Rotate(E, (180° * t2), D) → E'
  23. Polygon(C', D'_1, E') → poly2, e', c', d'_1
  24. Polygon(A', F', D') → poly1', d'_2, a'_1, f'_1
  25. Polygon(C', D'_1, E') → poly2', e'_1, c'_1, d'_3
  26. Polygon(B, E, D, F) → poly3, b, e, d, f
  27. Polygon(A, B, C) → poly4, c, a, b_1
  28. Polygon(A, F, D, E, C) → poly5, a_1, f_1, d_1, e_1, c_1