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Line Reflection in 3D Preserves Orientation

Line Reflection in 3D Preserves Orientation
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2018-03-27 18:32
Coordinate GeometrySolid GeometryTransformation
This example demonstrates how line reflection in three-dimensional space preserves orientation. The key mathematical concept involved is reflection transformation. Using GeoGebra commands such as Sphere, Cylinder, Segment, Point, PointIn, Cone, Line, and Mirror, the reflection effect of a line can be constructed. Suitable for high school mathematics education or learning about 3D geometric transformations.

GeoGebra Commands & Parameters

  1. Sphere(A, B) → a
  2. Cylinder(A, C, 1 / 2) → b, c, d, e
  3. Segment(A, C) → f
  4. Point(f) → D
  5. Segment(D, B) → g
  6. Sphere(B, E) → h
  7. PointIn(a) → G
  8. Cone(G, H, 1 / 4) → j, k, l
  9. Line(J, K) → i
  10. Mirror(L, i) → L'