Reflection over the x-axis

Reflection over the x-axis
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2016-04-15 01:20
This example demonstrates the reflection transformation of points, polygons, and function graphs over the x-axis. It involves core mathematical concepts such as symmetry, coordinate geometry, transformations, and reflections. The construction uses GeoGebra commands like Polygon, Line, and Mirror, with objects A, B, C, D, poly1 and their reflected counterparts A', B', C', D', poly1' to visualize the process. Suitable for high school coordinate geometry, geometric transformations lessons, and understanding function graph symmetry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Line(F, E) → e
  3. Mirror(A, e) → A'
  4. Mirror(B, e) → B'
  5. Mirror(C, e) → C'
  6. Mirror(D, e) → D'
  7. Polygon(A', B', C', D') → poly1', a', b', c', d'