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Area of a Parallelogram by Cristina Masotta

Area of a Parallelogram by Cristina Masotta
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2013-01-03 07:13
PolygonCoordinate GeometryGeometric Construction
This example demonstrates estimating the area of a parallelogram by counting squares. Key concepts include the area calculation of a parallelogram, line segment construction, and geometric construction. Commands used include Segment, Intersect, OrthogonalLine, and Polygon. Suitable for middle school and above students to learn area calculation and geometric construction.

GeoGebra Commands & Parameters

  1. Segment(E, B) → d
  2. Intersect(xAxis, yAxis) → A
  3. Segment(D, A) → b
  4. Segment(B, A) → a
  5. OrthogonalLine(B, a) → g
  6. Intersect(g, b) → J
  7. OrthogonalLine(J, g) → k
  8. Intersect(k, d) → L
  9. Segment(D, E) → c
  10. Segment(B, A) → e
  11. Segment(A, C) → f
  12. Intersect(g, c) → F
  13. Polygon(B, A, D, F) → Mangekant1, b_1, a_1, d_1, f_1
  14. Polygon(B, A, J) → Mangekant3, j, b_2, a_2
  15. Polygon(G, K, M) → Mangekant4, m, g_2, k_1
  16. OrthogonalLine(L, k) → l
  17. Intersect(c, l) → O
  18. Polygon(M, P, N, K) → Mangekant5, m_1, p, n, k_2
  19. Polygon(Q, R, H) → Mangekant6, h_1, q, r
  20. Polygon(G, I, S) → Mangekant7, s, g_3, i_1
  21. Polygon(B, A, D, E) → Mangekant2, b_3, a_3, d_2, e_1