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Dilations and Reflections Investigation

Dilations and Reflections Investigation
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2018-03-03 13:00
PolygonTransformationGeometric Construction
This example demonstrates the transformation of a polygon after undergoing dilation and reflection. Key math concepts include dilation, reflection, multiplication, and geometric transformations. It uses commands like Polygon, Intersect, Dilate, Line, Mirror, Vector, and Translate in GeoGebra. Suitable for high school students learning about geometric transformations to understand properties and applications.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Intersect(xAxis, yAxis) → D
  3. Dilate(A, 0.6666666666666666, D) → A'
  4. Dilate(B, 0.6666666666666666, D) → B'
  5. Dilate(C, 0.6666666666666666, D) → C'
  6. Polygon(A', B', C') → poly1', c', a', b'
  7. Line(E, F) → d
  8. Mirror(A', d) → A''
  9. Mirror(B', d) → B''
  10. Mirror(C', d) → C''
  11. Polygon(A'', B'', C'') → poly1'', c'', a'', b''
  12. Vector(E, F) → u
  13. Translate(A'', u) → A'''
  14. Translate(B'', u) → B'''
  15. Translate(C'', u) → C'''
  16. Polygon(A''', B''', C''') → poly1''', c''', a''', b'''