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Reflection over the y-axis by user21737

Reflection over the y-axis by user21737
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2014-05-01 02:43
Coordinate GeometryTransformationGeometric Construction
This example demonstrates how to perform a reflection over the y-axis. Key mathematical concepts include reflection and symmetry. Using the Mirror command in GeoGebra, the reflection of a rectangle over the y-axis is constructed. Suitable for middle school and above students to learn geometric transformations.

GeoGebra Commands & Parameters

  1. LaTeX(f, true, true) → text1
  2. Point(f) → A
  3. Point(f) → B
  4. Intersect(f, xAxis, (-1, 0)) → C
  5. Point(f) → D
  6. Point(f) → E
  7. Point(f) → F
  8. Point(f) → G
  9. Intersect(f, yAxis, (0, 1)) → H
  10. Polygon(I, J, K) → poly1, k_1, i, j
  11. Mirror(I, yAxis) → I'
  12. Mirror(J, yAxis) → J'
  13. Mirror(K, yAxis) → K'
  14. Polygon(I', J', K') → poly1', k', i', j'

AI Drawing Prompt Reference

Draw a rectangle and then reflect it over the y-axis. First, draw a rectangle and identify its vertices I, J, K. Then, reflect these vertices I, J, K over the y-axis to get I', J', K'. Finally, use these reflected points to draw the reflected rectangle.
The prompt above was compiled from the original drawing commands and is for reference only.