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Euclidean Rotation in Taxicab Geometry

Euclidean Rotation in Taxicab Geometry
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2020-02-08 14:45
Coordinate GeometryTransformationGeometric Construction
This example demonstrates Euclidean rotation in taxicab geometry. Key mathematical concepts include rotation and taxicab geometry. Using GeoGebra commands such as Rotate, Polygon, and ProperAngleMeasure, the construction of the rotated figure is shown. Suitable for high school geometry students and math enthusiasts interested in geometric transformations.

GeoGebra Commands & Parameters

  1. ProperAngleSlider(A_1) → b, β, f, g, B_1, C_1, text1
  2. Rotate(A, b, E) → A'
  3. Polygon(A, B, 3) → poly1, h, i, j, C
  4. Rotate(B, b, E) → B'
  5. Rotate(C, b, E) → C'
  6. Polygon(A', B', C') → t1, c', a', b'
  7. ProperAngleMeasure(A, B, C) → α, text2
  8. ProperAngleMeasure(B', A', C') → η, text7
  9. TDist(A, B) → text8, a
  10. TDist(B, C) → text9, c
  11. TDist(C, A) → text10, d
  12. TDist(A', B') → text11, e
  13. TDist(B', C') → text12, k
  14. TDist(C', A') → text13, l
  15. Segment(A', E) → m
  16. Segment(E, A) → n
  17. Angle(A, E, A') → θ