Transformation Golf Hole 1

Transformation Golf Hole 1
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2020-07-24 00:30
This example demonstrates the dynamic process of transforming shapes through translations, reflections, and rotations; core math concepts include transformations (translation, reflection, rotation), vectors, polygons, and coordinate systems; construction highlights involve GeoGebra commands/objects like Vector, Polygon, Vertex, Point, Line, zoomX1, Center1, zoom1, xmax1, xmin1, Center2, zoomX2, zoom2, xmax2, xmin2, ymax1, ymin1, ymax2, ymin2, TranslateButton, A, B, u, TranslateReadyButton, OrigPts, ball, C, D, E, H, trans, OrigPts_{old}, ball_{old}, ReflectButton, ReflectReadyButton, F, G, f, RefAni, Init, RotateButton, RotateReadyButton, α, RotAni, R; suitable for high school students learning geometric transformations, useful for understanding the properties and applications of transformations.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Polygon(OrigPts) → ball
  3. Vertex(ball) → C, D, E
  4. Point(u) → H
  5. Vector(A, H) → trans
  6. Polygon(OrigPts_{old}) → ball_{old}
  7. Line(F, G) → f
  8. Polygon(I, J, K, L) → green, i, j, k, l