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Nichols Transformations Description

Nichols Transformations Description
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2014-12-09 09:39
PolygonVectorTransformationGeometric Construction
This example demonstrates how to use GeoGebra for polygon dilation and translation transformations, observing the relationships between the original and transformed figures. Key math concepts include transformations (Dilation, Translation), polygons, and vectors. Construction highlights the use of commands and objects like Polygon, Intersect, Dilate, Vector, and Translate in GeoGebra. Suitable for middle school and above learners to understand the basics and applications of geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Intersect(xAxis, yAxis) → D
  3. Dilate(A, 0.5, D) → A'
  4. Dilate(B, 0.5, D) → B'
  5. Dilate(C, 0.5, D) → C'
  6. Polygon(A', B', C') → poly1', c', a', b'
  7. Vector(E, F) → u
  8. Translate(A', u) → A''
  9. Translate(B', u) → B''
  10. Translate(C', u) → C''
  11. Polygon(A'', B'', C'') → poly1'', c'', a'', b''