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Playing with the Mona Lisa

Playing with the Mona Lisa
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2017-03-28 04:02
Coordinate GeometryTransformationGeometric Construction
This example demonstrates geometric transformations by applying them to the Mona Lisa image. It involves concepts like dilation, reflection, rotation, translation, tangent function, linear equations, Pythagorean theorem, and parabola. Constructed using GeoGebra commands such as Vector, Translate, Rotate, CircleArc, Circle, Line, and Mirror. Suitable for high school mathematics education to understand geometric transformations and their applications.

GeoGebra Commands & Parameters

  1. Vector(D, E) → u
  2. Translate(pic1, u) → pic1'
  3. Translate(B, u) → B'
  4. Translate(C, u) → C'
  5. Vector(B, B') → v
  6. Rotate(pic1, α, A) → pic1'_1
  7. Rotate(B, α, A) → B'_1
  8. Rotate(C, α, A) → C'_1
  9. CircleArc(A, C'_1, C) → c
  10. CircleArc(A, C, C'_1) → d
  11. Circle(A, C) → e
  12. Line(F, G) → f
  13. Mirror(pic1, f) → pic1'_2
  14. Mirror(B, f) → B'_2
  15. Mirror(C, f) → C'_2