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Lateral Faces of a Pyramid

Lateral Faces of a Pyramid
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2016-12-08 14:50
PolygonSolid GeometryGeometric Construction
This example demonstrates the construction of the lateral faces of a pyramid. Key mathematical concepts include polyhedra and faces in solid geometry. Using GeoGebra commands such as Point, Polygon, Pyramid, etc., the lateral faces of a pyramid can be constructed. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Point(xAxis) → B
  3. Point(yAxis) → C
  4. Point(xAxis) → D
  5. Polygon(A, B, C, D) → poly1, a, b, c, d
  6. Point(zAxis) → E
  7. Pyramid(poly1, E) → e, faceABE, faceBCE, faceCDE, faceADE, edgeAE, edgeBE, edgeCE, edgeDE
  8. Circle(b, E) → f
  9. Point(f) → F
  10. Polygon(C, F, B) → poly2, b_1, c_1, f_1
  11. Center(f) → G
  12. OrthogonalLine(F, xOyPlane) → g
  13. Intersect(g, xOyPlane) → H
  14. Segment(F, H) → h
  15. Segment(G, H) → i
  16. Segment(F, G) → j
  17. Angle(F, G, H) → α