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Translational Symmetry Demo

Translational Symmetry Demo
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2016-07-12 04:52
VectorFunctionCalculusTransformationGeometric Construction
This example demonstrates translational symmetry in geometry by applying translation vectors to show the symmetry of shapes. It involves core mathematical concepts like symmetry, continuity, vectors, function graphs, and limits. The construction uses GeoGebra commands and objects such as Point, Vector, Mod, and Sequence. Suitable for high school mathematics teaching to understand transformation geometry and continuity/limit concepts in calculus.

GeoGebra Commands & Parameters

  1. Point(g) → F
  2. Vector(A, F) → u
  3. Mod(x(Corner[1]) - x(D), x(u)) → a
  4. Mod(x(Corner[2]) - x(D), x(u)) → b
  5. Sequence(D + (n * u), n, 1, d) → list1
  6. Sequence(D + (n * u), n, c, -1) → list2