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Cross Section of a Pyramid

Cross Section of a Pyramid
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2017-10-22 18:51
Solid GeometryTransformationGeometric Construction
This example demonstrates the cross section of a pyramid. It involves the concept of cross sections in solid geometry. Using GeoGebra commands such as Translate, IntersectPath, and Rotate, the construction of the pyramid and its cross section is illustrated. Suitable for students at the middle school level and above.

GeoGebra Commands & Parameters

  1. Translate(Rotate[Rotate[Plane[xAxis, yAxis], tt, xAxis], rr, zAxis], Vector[(0, 0, ud)]) → b
  2. Pyramid(AA, BB, CC, DD, FF) → py, faceAABBCCDD, edgeAAFF, edgeBBFF, edgeCCFF, edgeDDFF, faceAABBFF, faceBBCCFF, faceCCDDFF, faceAADDFF, edgeAABB, edgeBBCC, edgeCCDD, edgeAADD
  3. IntersectPath(b, py) → poly4, A, B, C, D, f, g, h, i
  4. Rotate(Rotate[Translate[poly4, Vector[(0, 0, (-ud))]], (-rr), zAxis], (-tt), xAxis) → poly2
  5. Segment(AA, BB) → edgeAABB_1
  6. Segment(BB, CC) → edgeBBCC_1
  7. Segment(CC, DD) → edgeCCDD_1
  8. Segment(DD, AA) → edgeDDAA