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Glide Reflection

Glide Reflection
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2016-11-29 12:45
VectorTransformationGeometric Construction
This example demonstrates the process of glide reflection, a type of geometric transformation. It involves first translating a figure along a straight line and then reflecting it. Using GeoGebra commands such as Vector, Polygon, Translate, and Mirror, the steps of the transformation are visually illustrated. Suitable for students at the junior high school level and above to learn about geometric transformations.

GeoGebra Commands & Parameters

  1. Vector(F, G) → u
  2. Polygon(A, B, C) → poly1, c, a, b
  3. Polygon(A', B', C') → polyResponse, f, d, e
  4. Line(D, E) → g
  5. Translate(B, u) → targetStep2
  6. Translate(A, u) → targetStep1
  7. Translate(C, u) → targetStep3
  8. Mirror(targetStep1, h) → target1
  9. Mirror(targetStep2, h) → target2
  10. Mirror(targetStep3, h) → target3
  11. Polygon(target1, target2, target3) → polyTarget, targetSeg3, targetSeg1, targetSeg2
  12. AreEqual(polyResponse, polyTarget) → correct1
  13. Mirror(A, h) → A'_1
  14. Mirror(B, h) → B'_1
  15. Mirror(C, h) → C'_1
  16. Polygon(A'_1, B'_1, C'_1) → polyStep1B, c'_1, a'_1, b'_1
  17. Polygon(targetStep1, targetStep3, targetStep2) → polyStep1A, targetstep2, targetstep1, targetstep3

AI Drawing Prompt Reference

Draw a triangle ABC, then translate it along vector u, and reflect it over line h. Repeat this process to form a new triangle. Pay attention to the relationships between the key objects in each step.
The prompt above was compiled from the original drawing commands and is for reference only.