MathPlotAI Logo MathPlotAI

Right Pyramids Construction

Right Pyramids Construction
Loading the math board and drawing, please wait…
2019-10-09 14:21
PolygonSolid GeometryGeometric Construction
This example demonstrates the geometric construction and properties of right pyramids. It involves core math concepts like solid geometry, polygons, point-line-plane relationships, and geometric transformations. Key GeoGebra commands and objects used include Intersect, Point, Polygon, Line, OrthogonalLine, Pyramid, Plane, and PointIn. Suitable for high school geometry teaching and construction practice.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  4. Point(xAxis) → E
  5. Point(xAxis) → F
  6. Polygon(E, F, 5) → poly2, j, k, l, m, n, G, H, I
  7. Point(xAxis) → J
  8. Point(xAxis) → K
  9. Polygon(J, K, 6) → poly3, p, O, q, r, s, t, a, L, M, N
  10. Line(C, A) → b
  11. Line(D, B) → c
  12. Intersect(b, c) → P
  13. OrthogonalLine(H, j) → d
  14. OrthogonalLine(I, k) → e
  15. Intersect(d, e) → Q
  16. Line(N, K) → f_1
  17. Line(L, O) → g_1
  18. Intersect(f_1, g_1) → R
  19. OrthogonalLine(P, poly1) → h_1
  20. OrthogonalLine(Q, poly2) → i_1
  21. OrthogonalLine(R, poly3) → j_1
  22. Point(h_1) → S
  23. Point(i_1) → T
  24. Point(j_1) → U
  25. Pyramid(poly1, S) → o, faceABS, faceBCS, faceCDS, faceADS, edgeAS, edgeBS, edgeCS, edgeDS
  26. Pyramid(poly2, T) → u, faceEFT, edgeIT, faceFGT, faceGHT, faceHIT, faceEIT, edgeET, edgeFT, edgeGT, edgeHT
  27. Pyramid(poly3, U) → v, faceJKU, edgeMU, edgeNU, edgeOU, faceKLU, faceLMU, faceMNU, faceNOU, faceJOU, edgeJU, edgeKU, edgeLU
  28. Plane(S, poly1) → p_1
  29. PointIn(p_1) → V
  30. Pyramid(poly1, V) → w, faceABV, faceBCV, faceCDV, faceADV, edgeAV, edgeBV, edgeCV, edgeDV