The scaling factor in the x-direction is denoted r.
The scaling factor in the y-direction is denoted s.
Assume there are no rotations. Then if r = s, the transformation is a similarity
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otherwise it is an affinity
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Note the scalings are always toward the origin. That is, the origin is the fixed point of all scalings.
Continue to reflections.
Return to Geometry of Plane Transformations.