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Pyramid Construction by blakemasson

Pyramid Construction by blakemasson
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2017-04-04 22:16
PolygonVectorSolid GeometryGeometric Construction
This example demonstrates the construction of a pyramid. Key mathematical concepts include polygons, vectors, and solid geometry. Using GeoGebra commands such as Polygon, OrthogonalLine, and Intersect, various faces and edges of the pyramid are constructed. Suitable for high school students learning solid geometry and geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 5) → poly1, f, g, h, i, j, C, D, E
  2. OrthogonalLine(D, f) → k
  3. OrthogonalLine(B, i) → l
  4. Intersect(k, l) → F
  5. Plane(poly1) → a
  6. OrthogonalLine(F, a) → m
  7. Point(m) → G
  8. Pyramid(poly1, G) → b, faceABG, edgeEG, faceBCG, faceCDG, faceDEG, faceAEG, edgeAG, edgeBG, edgeCG, edgeDG
  9. Plane(G, a) → c
  10. PointIn(c) → H
  11. Pyramid(poly1, H) → d, faceABH, edgeEH, faceBCH, faceCDH, faceDEH, faceAEH, edgeAH, edgeBH, edgeCH, edgeDH