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Figure Translation Demo

Figure Translation Demo
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2012-10-04 00:06
PolygonVectorCoordinate GeometryTransformationGeometric Construction
In collections Transformations
① This applet demonstrates translating a triangle by a given translation vector. ② Core mathematical concepts include vectors, translation transformations, rigid motions, and coordinate geometry. ③ Construction highlights: Polygon creates the original triangle (poly1); Vector defines the translation vector v; Translate produces the image vertices A', B', C' and the translated polygon (poly1_1); Textfield and input boxes (inputBoxA, inputBoxB, inputBoxC) allow interactive entry of vector components. ④ Suitable for middle‑school geometry lessons on translations and as a visual aid for high‑school analytic geometry or vector topics.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1_1, c_1, a_1, b_1
  2. Translate(B, v) → B'
  3. Translate(A, v) → A'
  4. Translate(C, v) → C'
  5. Polygon(A', B', C') → poly1, c', a', b'
  6. Textfield(B) → inputBoxB
  7. Textfield(A) → inputBoxA
  8. Textfield(C) → inputBoxC
  9. Vector(A, A') → u
  10. Vector(B, B') → w
  11. Vector(C, C') → z