- Select the object(s)
Edit > Cut
- Click Artboard 1 with the Selection Tool (black arrow) You should see the artboard edge get darker, indicating it's the active artboard.
Edit > Paste in Front(or back)
The pasted object(s) should be in the same location, but now associated with Artboard 1.
Sometimes when pasting objects between artboards there's some underlying voodoo which takes place and the paste coordinates are "hinky". Objects which should paste in the same location somehow use coordinates from their previous artboard. When that happens, it becomes necessary to reposition the pasted object(s) manually.