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Reference

Concept

A combination of rigid motions and dilations is called a similarity transformation. The scale factor of a similarity transformation is the product of the scale factors of the dilations.

Move the slider to create a similarity transformation by combining rigid motions and dilations. Similar figures are created as the result of a similarity transformation.

Rule

The following is a list of a few important properties of similarity transformations.

- The image of a line segment is a line segment. The image is longer or shorter than the preimage in the ratio given by the scale factor.
- Similarity transformations preserve angle measures.

These are properties of both rigid motions and dilations. Since similarity transformations are combinations of rigid motions and dilations, these are also properties of similarity transformations.

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