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Reflection over x = 3

Reflection over x = 3
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2015-03-02 06:53
Coordinate GeometryTransformationGeometric Construction
This example demonstrates the reflection transformation of points and polygons over the line x = 3. Key math concepts include reflection, coordinate geometry, and symmetry. It involves GeoGebra commands like Line, Intersect, Polygon, and Mirror. Suitable for high school students learning coordinate geometry and geometric transformations.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw a vertical line through x=3. Plot a quadrilateral and label its vertices. Reflect the quadrilateral and its vertices over the line x=3. Finally, draw both the original and reflected quadrilaterals, clearly showing their vertices and corresponding relationships.
The prompt above was compiled from the original drawing commands and is for reference only.