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Positioning the pivot point in center in part of mesh

I made three models which will be tiled next to each other in a game.

Center Tile, Corner Tile, Edge Tile.Image may be NSFW.
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Tiles

My problem is I have trouble positioning them next to each other, I've come to the conclusion the problem is the pivot point.

My most left tile, the pivot is directly in the center.But on the other two they are not in the center even though I used "Origin to center of mass" and also Shift-C and "Origin to 3D cursor".

I have also tried selecting the top vertices "the green part" and Shift-S "Cursor to selected", its nearly perfect but not quite.

Image may be NSFW.
Clik here to view.
Tile problem

How can I perfectly center the pivot point in the green part in each model?


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