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Reflection over the line y=x

Reflection over the line y=x
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2019-11-16 07:59
Coordinate GeometryGeometric Construction
This example demonstrates the reflection of points and polygons over the line y=x, involving core math concepts like reflection transformation, coordinate geometry, and symmetry. It is constructed using GeoGebra commands and objects such as Point, Polygon, Intersect, Line, and Mirror, making it suitable for high school students learning coordinate geometry and geometric transformations.

GeoGebra Commands & Parameters

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