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Homothety

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Summary
The homothety is a transformation of space which dilates distance with respect to a fixed point O called the origin. The similitude ratio k is the number by which distances are multiplied. This ratio can be set  to negative values as well.

All objects in the animation can be moved  with a simple “click and drag”. The ratio k can be altered by clicking on the ratio and directly entering a new value.
Learning objectives
  • To illustrate how homothety works.
  • How to use the animation

    Select an object then drag it around the plane.

    Click on the similitude ratio k to enter a new one.

    Click and drag the origin O.

    Keywords
    homothetic-transformation, isometry, homothety, geometry
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