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Homothety and Rotation

Homothety and Rotation
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2018-05-09 07:33
PolygonFunctionGeometric Construction
This example demonstrates the application of homothety and rotation transformations in geometric figures. By observing the scaling and rotation effects, one can understand the involved mathematical concepts such as transformations, similarity, angles, and polygons. Key construction points use GeoGebra commands and objects like Polygon, Segment, Midpoint, Dilate, and Rotate. Suitable for high school mathematics teaching to understand the properties and applications of geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  2. Segment(A, C) → j
  3. Midpoint(A, C) → E
  4. Dilate(poly1, 5 / 6, E) → poly1'
  5. Rotate(poly1', (-(13°)), E) → poly1''
  6. Dilate(poly1'', 5 / 6, E) → poly1'''
  7. Rotate(poly1''', (-(13°)), E) → q1
  8. Dilate(q1, 5 / 6, E) → q1'
  9. Rotate(q1', (-(13°)), E) → q1''
  10. Dilate(q1'', 5 / 6, E) → q1'''
  11. Rotate(q1''', (-(13°)), E) → q2
  12. Dilate(q2, 5 / 6, E) → q2'
  13. Rotate(q2', (-(13°)), E) → q2''