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Interactive resource

Homothety variant (rotate + scale)

Geometry. Follower from rotation plus scaling — locus remains a circle. Free interactive GeoGebra resource — adjust parameters in the browser.

  • Similarity
  • Loci

Overview

Follower from rotation plus scaling — locus remains a circle.

Explanation

Variant: obtain the follower by rotating the driver about a fixed point, then scaling.
Rotation and homothety both preserve circular shape, so the locus stays a circle.
The new center is the image of the old center; radius scales by the factor.

How to use

Adjust scale k and angle φ, drag P, and watch Q’s circular path.

Knowledge points

  • Similarity
  • Loci