This error message occurs when importing layer symbology into ArcMap:
"The import geometry type does not match destination geometry type"
This message means that the .lyr file selected has a different geometry type than the current layer. Symbology can only be imported from a .lyr file of the same geometry type. For example, for a polygon layer, symbology can only be imported from a polygon.lyr file.
This message may also appear if importing symbology from a .lyr file with a broken data path. Symbology cannot be imported from .lyr files with broken data paths.
If the .lyr file was created from a map service, then you can only look for a map service layer, regardless of the geometry type that is present in the service.
For more information on absolute and relative paths, see the "Referencing data in the map" topic in the ArcGIS Desktop Help > Contents tab > ArcMap > Creating Maps > Referencing data in the map.