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Transformations: Translation, Reflection, & Rotation

Transformations: Translation, Reflection, & Rotation
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2016-01-29 01:34
VectorTransformationGeometric Construction
This example demonstrates the concepts of translation, reflection, and rotation, helping students discover the rules for reflecting and rotating. Using GeoGebra commands such as Polygon, Line, Mirror, Vector, and Translate, students can construct transformed figures. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → Original, c, a, b
  2. Line(D, E) → d
  3. Mirror(B, d) → B'
  4. Mirror(C, d) → C'
  5. Mirror(A, d) → A'
  6. Polygon(A', B', C') → Reflect, c', a', b'
  7. Vector(F, G) → u
  8. Translate(A, u) → A''
  9. Translate(B, u) → B''
  10. Translate(C, u) → C''
  11. Polygon(A'', B'', C'') → Translate, c'_1, a'_1, b'_1
  12. Polygon(A''', B''', C''') → Free, c_1, a_1, b_1