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I have a data set of unknown origin (probably CAD) and I have determined that the correct transformation for this data into the projection that I want is as follows:

(4x + 2205432), (30y + 1254781)

However, The "Custom Projection" tool is a bit vexing and there is no obvious way for me to enter parameters like this in. I would call this an affine transformation but I don't see that option available.

I've never done this before, can someone tell me how it's done?

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    Maybe if you wrote a program and could then access the ITransformation methods. CAD layers can be georeferenced with a conformal (not affine) transformation. A conformal one only allow a single scale, not two though. What about trying the georeferencing (if CAD) or spatial adjustment toolbars?
    – mkennedy
    May 3, 2016 at 19:19
  • @mkennedy I think a copy/paste of your comment would be suitable as a short answer.
    – PolyGeo ♦
    Jul 19, 2016 at 1:23

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As commented by @mkennedy:

Maybe if you wrote a program and could then access the ITransformation methods. CAD layers can be georeferenced with a conformal (not affine) transformation. A conformal one only allow a single scale, not two though.

Perhaps try the georeferencing (if CAD) or spatial adjustment toolbars.

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