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Cross Sections of a Trapezoidal Prism by nandrews

Cross Sections of a Trapezoidal Prism by nandrews
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2016-05-10 21:03
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the cross sections of a trapezoidal prism. Key mathematical concepts include solid geometry and geometric construction. Using GeoGebra commands such as Intersect, Polygon, and Prism, various faces and cross sections of the trapezoidal prism can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Polygon(A, B, C, D) → poly1, a, b, c, d
  3. Prism(poly1, 5.170266100867449) → e, E, edgeAE, edgeBF, edgeCG, edgeDH, edgeEF, edgeFG, edgeGH, edgeEH, F, G, H, faceABFE, faceBCGF, faceCDHG, faceADHE, faceEFGH
  4. Point(edgeFG) → I
  5. OrthogonalLine(I, b, space) → f
  6. OrthogonalLine(I, edgeEH, space) → g
  7. Intersect(edgeEH, g) → J
  8. Intersect(f, b) → K
  9. OrthogonalLine(J, d, space) → h
  10. Intersect(d, h) → L
  11. Polygon(I, J, L, K) → poly2, i, j, l, k
  12. Point(edgeCG) → M
  13. OrthogonalLine(M, edgeBF, space) → n
  14. Intersect(edgeBF, n) → N
  15. OrthogonalLine(N, edgeAE, space) → p
  16. Intersect(edgeAE, p) → O
  17. OrthogonalLine(O, edgeDH, space) → q
  18. Intersect(edgeDH, q) → P
  19. Polygon(M, N, O, P) → poly3, m_1, n_1, o, p_1
  20. Point(edgeCG) → Q
  21. OrthogonalLine(Q, edgeBF, space) → s
  22. Intersect(edgeBF, s) → R
  23. Point(edgeDH) → S
  24. Plane(R, Q, S) → t
  25. IntersectPath(t, e) → poly4, T, U, V, W, a_1, b_1, c_1, d_1
  26. Point(edgeGH) → Z
  27. Point(edgeFG) → A_1
  28. Point(edgeCG) → B_1
  29. Plane(Z, A_1, B_1) → v
  30. IntersectPath(v, e) → poly5, C_1, D_1, E_1, e_1, f_1, g_1