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lorinpoo

While both orders presented can have different scaling/translation factors such that the end result is the same, is one order preferred? It seems to me that the top-right method is much more intuitive because the scaling is done more "in place."

azwarens

Misunderstanding I had: in the bottom right (translate then scale), you're scaling the square point by point which moves it closer to the origin, instead of a square half the size in the same place.

isalinas

Piggybacking on what @azwarens said, it's helpful to mention that all these transformation are happening relative to the origin (0,0), rather than happening relative to the bottom-left point on each figure.