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Reflection over y=mx+b

Reflection over y=mx+b
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2015-01-26 23:25
FunctionCoordinate GeometryTransformation
This example demonstrates reflection over the line y=mx+b. Key mathematical concepts include reflection transformation and linear equations. Using GeoGebra commands like Point, Polygon, and Mirror, the reflected figure can be constructed. Suitable for students at the middle school level and above for learning geometric transformations.

GeoGebra Commands & Parameters

  1. Point(yAxis) → C
  2. Point(yAxis) → D
  3. Polygon(A, B, C, D) → poly1, a, b_1, c, d_1
  4. Mirror(A, d) → A'
  5. Mirror(B, d) → B'
  6. Mirror(C, d) → C'
  7. Mirror(D, d) → D'
  8. Polygon(A', B', C', D') → poly1', a', b', c', d'

AI Drawing Prompt Reference

Draw a quadrilateral and a line y=mx+b, then reflect the quadrilateral over the line to obtain a new quadrilateral, demonstrating the reflection transformation.
The prompt above was compiled from the original drawing commands and is for reference only.