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Reflection about a Line by GeoGebra Materials Team

Reflection about a Line by GeoGebra Materials Team
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2014-08-20 21:01
Coordinate GeometryGeometric Construction
This example demonstrates how to perform reflection about a line using analytic geometry. Key mathematical concepts include reflection transformation. It uses GeoGebra commands such as Line, Polygon, and Mirror. Suitable for middle school and above students to learn about reflection transformation.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw a pentagon ABCDE and its reflection A'B'C'D'E' about a line a. First, draw line a, then plot the vertices of the pentagon ABCDE, reflect each vertex about line a to get A', B', C', D', E', and finally draw the new pentagon A'B'C'D'E'.
The prompt above was compiled from the original drawing commands and is for reference only.