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Basic Quadrilateral Pyramid and Net

Basic Quadrilateral Pyramid and Net
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2015-01-10 03:12
PolygonSolid GeometryGeometric ConstructionGraphing
This example demonstrates a quadrilateral pyramid in 3D view along with its net. Key math concepts include solid geometry, polygon area, surface area, and volume calculations. Construction involves commands like PointIn, Ray, Point, Polygon, Pyramid, Circle, Intersect, Segment, showcasing the use of GeoGebra objects. Suitable for high school students learning 3D shapes and properties, or for teaching related mathematical concepts.

GeoGebra Commands & Parameters

  1. PointIn(a) → A
  2. PointIn(a) → B
  3. PointIn(a) → C
  4. PointIn(a) → D
  5. PointIn(a) → E
  6. Ray(E, E + (0, 0, 1)) → b
  7. Point(b) → F
  8. Polygon(A, B, C, D) → poly1, a_1, b_1, c, d
  9. Pyramid(poly1, F) → e, faceABF, faceBCF, faceCDF, faceADF, edgeAF, edgeBF, edgeCF, edgeDF
  10. Circle(A, Distance[F, A], xOyPlane) → f
  11. Circle(B, Distance[F, B], xOyPlane) → g
  12. Intersect
  13. Intersect(f, g, 1) → G
  14. Polygon(B, G, A) → poly2, a_2, b_2, g_1
  15. Circle(C, Distance[F, C], xOyPlane) → h
  16. Intersect
  17. Intersect(g, h, 1) → H
  18. Polygon(H, B, C) → poly3, c_1, h_1, b_3
  19. Circle(D, Distance[F, D], xOyPlane) → k
  20. Intersect
  21. Intersect(h, k, 1) → I
  22. Polygon(I, C, D) → poly4, d_1, i, c_2
  23. Intersect
  24. Intersect(f, k, 2) → J
  25. Polygon(D, J, A) → poly5, a_3, d_2, j
  26. Segment(E, F) → l