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Vector Translation Transformation: Circle and Polygon Dynamics

Vector Translation Transformation: Circle and Polygon Dynamics
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2016-05-17 12:49
CirclePolygonVectorTransformation
This GeoGebra example demonstrates geometric translation transformations driven by vectors. Key mathematical concepts involved are vectors, translation, circles, polygons, and angles. The construction employs specific GeoGebra commands including Circle, Point, Polygon, Vector, and Translate to generate initial objects Q, R, c, T and their translated images Q', R', T', poly1'. It is designed for high school students studying plane geometry transformations or vector operations.

GeoGebra Commands & Parameters

  1. Circle(Q, R) → c
  2. Point(c) → T
  3. Polygon(R, T, Q) → poly1, q, r, t
  4. Angle(R, Q, T) → α
  5. Angle(Q, R, T) → β
  6. Angle(R, T, Q) → γ
  7. Vector(Q, Q + (1, 0)) → u
  8. Translate(R, Vector[(u * Translate)]) → R'
  9. Translate(T, Vector[(u * Translate)]) → T'
  10. Translate(Q, Vector[(u * Translate)]) → Q'
  11. Polygon(R', T', Q') → poly1', q', r', t'