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Rotating a Triangle Around a Line

Rotating a Triangle Around a Line
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2016-01-28 03:06
TriangleSolid Geometry
In collections Shape Rotations Shape Rotations Shape Rotations
This example demonstrates the 3D shape formed by rotating a triangle around a line. Key concepts include rotation in solid geometry and the generation of cones and cylinders. Commands used include Polygon, Line, Cylinder, Cone, and Rotate. Suitable for middle school and above students learning solid geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(yAxis) → B
  3. Point(xAxis) → C
  4. Polygon(B, A, C) → poly1, c, b, a
  5. Line(B, C) → h
  6. OrthogonalLine(C, xAxis) → i
  7. OrthogonalLine(B, i) → j
  8. Intersect(i, j) → D
  9. Cylinder(C, D, b) → k, p, q, l
  10. Cone(D, C, b) → m, s, n
  11. Circle(C, b, i) → t
  12. Rotate(A, r, i) → A'
  13. Rotate(C, r, i) → C'
  14. Segment(A', C') → b'
  15. Rotate(B, r, i) → B'
  16. Rotate(A, r, i) → A'_1
  17. Segment(B', A'_1) → c'
  18. Rotate(C, (-r), i) → C'_1
  19. Rotate(C, (-r), i) → C'_2
  20. Intersect(i, a) → E
  21. Segment(C, B') → a_1