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Net of a Right Triangular Prism

Net of a Right Triangular Prism
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2017-03-28 03:44
TriangleSolid GeometryGeometric Construction
This example demonstrates the net of a right triangular prism. The key mathematical concept is solid geometry, specifically the triangular prism. Using GeoGebra commands such as Point, Segment, Polygon, Prism, and Net, the net of a right triangular prism can be constructed. Suitable for middle school and above students to learn solid geometry.

GeoGebra Commands & Parameters

  1. Point(Circle[A, Triangle_ Height]) → B
  2. Segment(A, B) → a
  3. Point(Circle[A, Triangle_ Base]) → C
  4. Segment(A, C) → b
  5. Rotate(A, α, A) → A'
  6. Rotate(C, α, A) → C'
  7. Segment(A', C') → b'
  8. Polygon(A, B, C') → poly1, c', a_1, b_1
  9. Prism(poly1, Prism_ Height) → d, D, edgeC'F, edgeDE, edgeEF, edgeDF, E, F, faceABED, faceBC'FE, faceAC'FD, faceDEF, edgeAD, edgeBE
  10. Net(d, Net) → f, G, P, faceGHI, faceGHKJ, faceHIML, faceGINO, faceJKP, edgeGH, edgeHI, edgeGI, edgeGJ, H, edgeJK, edgeHK, edgeHL, edgeLM, edgeIM, edgeIN, edgeNO, edgeGO, edgeKP, edgeJP, I, J, K, L, M, N, O
  11. Midpoint(edgeDF) → Q
  12. Midpoint(edgeDE) → R
  13. Midpoint(edgeBE) → S
  14. Midpoint(edgeHK) → T
  15. Angle(H, G, I, xOyPlane) → β
  16. Midpoint(edgeGO) → U
  17. Midpoint(edgeNO) → V
  18. Midpoint(edgeJK) → W
  19. Midpoint(edgeJP) → Z
  20. Midpoint(edgeKP) → A_1
  21. Midpoint(edgeEF) → B_1
  22. Midpoint(edgeLM) → C_1