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So your polygon file is in the North Pole Lambert Azimuthal Equal Area projection, and the points you added are in decimal degrees, is that correct? If so, you will need to add the XY data into ArcMap using the correct Geographic Coordinate system (WGS 1984 or whatever it is in), export this out to a shapefile, and then use the Project tool to change the projection.
What you did is take data with the correct extents and coordinate system, and then deleted the correct coordinate system and changed it to something else while leaving the extents unchanged. If you want to get data from one coordinate system to another you will always need to use the Project (or Project Raster if you are dealing with rasters) tool.
Thank you very much for your reply! I just did that and it worked perfectly! I had tried the project tool previously but I think the mistake that I was making was when I was adding the XY data I was not specifying a geographic coordinate system.
Thank you again for your help.
i have a shape file for karnataka, india, try to overlay on
googlemaps, through asp.net , but my shape file falling on the indian
sea, not alighning with india on gmaps.
I changed the .prj file to wgs84:
The following is the .prj file:
but couldnot succeed.. Any help would be greatly appreciated ...