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Reflection Plane of Triangular Prism

Reflection Plane of Triangular Prism
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2015-12-03 14:01
Solid GeometryGeometric Construction
This example demonstrates the reflection plane of a triangular prism. Key mathematical concepts include reflection, plane geometry, and solid geometry. Using GeoGebra commands such as Polygon, PointIn, Translate, Rotate, Prism, Plane, and IntersectPath, the construction of the triangular prism and its reflection plane is achieved. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Polygon(B + ((-2), (-2)), B + (2, (-2)), B + (2, 2), B + ((-2), 2)) → poly3, e, f, g, i
  2. PointIn(poly3) → C
  3. Translate((0, 0, 0), Vector[B, C]) → A
  4. Polygon(A + ((-4), (-4)), A + (4, (-4)), A + (4, 4), A + ((-4), 4)) → poly1, a, b, c, d
  5. Rotate(Rotate[Translate[poly1, Vector[A, A + (0, 0, h)]], (90° * s), A + (0, 0, h), yAxis], (90° * t), A, zAxis) → poly2
  6. Rotate(D, 120*°, (0, 0, 0)) → E
  7. Polygon(D, E, 3, xOyPlane) → poly4, j, k, l, F
  8. Prism(poly4, D + (0, 0, 4)) → m, M, edge4, edge5, edge6, N, face1, face2, face3, face4, edge1, edge2, edge3
  9. PointIn(poly2) → G
  10. PointIn(poly2) → H
  11. PointIn(poly2) → I
  12. Plane(G, I, H) → n
  13. IntersectPath(n, m) → poly6, poly5, r, a_1, b_1, c_1, K, L_1, O, P, J, L, p, q
  14. Rotate(m, 0, zAxis) → m'
  15. Rotate(m, 0, zAxis) → m'_1
  16. OrthogonalLine(A, n) → d_1

AI Drawing Prompt Reference

Draw a triangular prism and its reflection plane. Start by drawing the base triangle, then rotate and translate it to form the prism. Next, draw another triangle and rotate it around the z-axis to create the reflection plane. Finally, find the intersection of the reflection plane with the prism to complete the drawing.
The prompt above was compiled from the original drawing commands and is for reference only.