I have a shapefile consisting of a set of points. I have another shapefile that consists of polygons. The polygons are divided into a number of classes; these classes are defined by a field in the attribute table for the polygon shapefile. The point data plots within the polygons and I would like to know which class of polygon each data point plots within. To do this easily, as I have thousands of data points, I would like to add a field (column) to the point shapefile that is populated for each point with the class of the polygon it falls within. I'm sure there's a tool that can do this for me but I am not sure which one suits best.
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