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Reflection in the Line x = 2

Reflection in the Line x = 2
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2019-11-17 22:03
Coordinate GeometryTransformationGeometric Construction
This example demonstrates reflection over the line x = 2. The key mathematical concept involved is reflection transformation. Using GeoGebra commands such as Point, Polygon, OrthogonalLine, and Mirror, the reflected figure can be constructed. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw a triangle ABC and reflect it over the line x=2 to get triangle A'B'C'. First, take points A and B on the x-axis and draw triangle ABC. Then, take point F on the x-axis and draw a vertical line f perpendicular to the x-axis, which is the line of reflection. Finally, reflect points C, D, and E over line f to get points C', D', and E', and connect these points to form triangle A'B'C'.
The prompt above was compiled from the original drawing commands and is for reference only.