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Axial Symmetry Demonstration by TREVOR MC ALEENAN

Axial Symmetry Demonstration by TREVOR MC ALEENAN
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2017-03-18 04:28
PolygonFunctionTrigonometryGeometric Construction
This example dynamically demonstrates the construction and properties of axially symmetric figures using GeoGebra. It involves core mathematical concepts such as symmetry axes, symmetric points, polygon construction, reflection transformations, trigonometric functions, and indefinite integrals. Key GeoGebra commands/objects used include Segment, Polygon, and Mirror. Suitable for high school mathematics teaching, covering geometric transformations, function graphs, and the integration of analytical geometry.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Polygon(C, D, E, F) → poly1, c, d, e, f_1
  3. Mirror(C, f) → C'
  4. Mirror(D, f) → D'
  5. Mirror(E, f) → E'
  6. Mirror(F, f) → F'
  7. Polygon(C', D', E', F') → poly1', c', d', e', f'
  8. Segment(D, D') → g
  9. Segment(C, C') → h
  10. Segment(F, F') → i
  11. Segment(E, E') → j