Translation Vector Practice #1

Translation Vector Practice #1
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2017-02-17 14:33
This GeoGebra example illustrates translation transformation using vectors and polygons. It demonstrates how vector u displaces triangle KHABC and its polygonal region poly1 to produce images K'A'B'C' and poly1'. Key mathematical concepts include vector-based translation, rigid motion invariance, and coordinate geometry mappings. Construction relies on the GeoGebra commands Polygon, Vector, and Translate, linking original points A, B, C and vector u to their translated counterparts. The example is suitable for middle and high school geometry students exploring rigid transformations and vector operations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Vector(A, D) → u
  3. Translate(A, u) → A'
  4. Translate(B, u) → B'
  5. Translate(C, u) → C'
  6. Polygon(A', B', C') → poly1', c', a', b'
  7. Translate(D, Vector[(-1.7000000000000028, -0.14000000000000012)]) → D'