Georeferencing shapefile using ArcGIS for Desktop?

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I have a shapefile with some polygons that I would like to superimpose to a raster image, but unfortunately they don't match perfectly due to the reference system the shp has been created with. So, I now want to "georeference" the shp so that all the polygons would match the below raster image. It's not just a matter of moving it, the polygons are a bit deformed compared to the img, so I need to create some control points to tell the program how I would like to move them. I know this can easily be done for rasters, but what about features?

Moreover, I am adding that I know that I can always georeference the raster to the shp, but in this case the raster must stay where it is, I only need to move the shp, as this is supposed to be the second part of the same job, but coming from another source has caused this problem which I have to deal with.

I am using ArcGIS 10.1 for Desktop.



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