Reflection in the line x = 1

Reflection in the line x = 1
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2019-11-17 21:58
This example demonstrates the reflection transformation of points and polygons across the line x = 1. It involves core mathematical concepts like reflection, coordinate geometry, and symmetry. The construction uses GeoGebra commands: Point, Polygon, OrthogonalLine, Mirror to create points, polygons, perpendicular lines, and reflected images. Suitable for high school coordinate geometry instruction or student exploration of geometric transformation properties.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Polygon(C, D, E) → poly1, e, c, d
  4. Point(xAxis) → F
  5. OrthogonalLine(F, xAxis) → f
  6. Mirror(C, f) → C'
  7. Mirror(D, f) → D'
  8. Mirror(E, f) → E'
  9. Polygon(C', D', E') → poly1', e', c', d'