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Pyramid Section by a Plane Parallel to Its Base

Pyramid Section by a Plane Parallel to Its Base
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2020-06-23 12:17
Solid GeometryTransformationGeometric Construction
This example demonstrates the section of a pyramid when a plane is parallel to its base. Key mathematical concepts include the properties of pyramid sections in solid geometry. Using GeoGebra commands such as PointIn, Polygon, Translate, and IntersectPath, a dynamic construction of the pyramid and its section is achieved. Suitable for high school geometry, aiding students in understanding the properties of pyramid sections.

GeoGebra Commands & Parameters

  1. PointIn(xOyPlane) → B
  2. PointIn(xOyPlane) → A
  3. Polygon(A, B, 4, xOyPlane) → poly1, a, b, c, d, C, D
  4. Pyramid(poly1, E) → e, faceABE, faceBCE, faceCDE, faceADE, edgeAE, edgeBE, edgeCE, edgeDE
  5. Translate(xOyPlane, Vector[(0, 0, 3)]) → f
  6. IntersectPath(f, e) → poly2, poly3, g, h, i, j, k, l, m, n, G, H, I, J, K, L, M, N
  7. PointIn(poly2) → Pointpoly2
  8. PointIn(poly1) → Pointpoly1
  9. Distance(A, B) → distanceAB
  10. Distance(H, G) → distanceHG
  11. Perimeter(faceABE) → perimeterfaceABE