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Dilations of Circles and Diameters

Dilations of Circles and Diameters
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2016-11-16 07:18
CircleGeometric Construction
This example demonstrates dilations of circles and diameters. Key mathematical concepts include similarity transformations, properties of circles, and diameters. Using GeoGebra commands such as Segment, Line, Point, Intersect, Midpoint, Circle, etc., the construction of dilated circles and diameters is illustrated. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Line(C, f) → g
  3. Point(g) → D
  4. Segment(D, C) → h
  5. Line(C, A) → i
  6. Line(D, B) → j
  7. Line(D, A) → k
  8. Line(C, B) → l
  9. Intersect(i, j) → E
  10. Intersect(k, l) → F
  11. Midpoint(h) → G
  12. Midpoint(f) → H
  13. Line(E, F) → m
  14. Circle(G, D) → c
  15. Circle(H, B) → d