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Reflection over the line y = -1

Reflection over the line y = -1
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2019-11-17 21:23
Coordinate GeometryGeometric Construction
This example demonstrates the reflection transformation of points and polygons over the line y = -1. It involves core mathematical concepts such as reflection, coordinate geometry, and vectors. The construction uses GeoGebra commands and objects like Point, Polygon, OrthogonalLine, Mirror. Suitable for high school mathematics teaching and geometric transformation studies.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Polygon(C, D, E) → poly1, e, c, d
  4. Point(yAxis) → F
  5. OrthogonalLine(F, yAxis) → 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'