Part of Oversized Units
When an oversized unit is teleported, it must be to a location or set of locations that are all legal for that unit to occupy, and must not cross regional boundaries unless allowed by card text. If the destination of the teleportation is a single location, the controller of the teleportation effect chooses the position and orientation of the unit, as long as the destination is included in the locations it ends up occupying. For example, Mountain Giant is chosen as the ally for Blink: As the 'nearby location,' I choose X. Now, the Mountain Giant can end up in any of these positions: Since the Mountain Giant is a square shape, its orientation doesn't typically matter, but if it were carrying something, it could also be rotated as desired from the teleportation.