The relocate functions allow you to move the project base point, either manually or by specifying a point in the coordinate system. The coordinates for the base point will change, but the coordinates for the survey point will not change. With the Relocate Project tool, the geometry moves in the view relative to the survey point (the survey point does not move). With the Specify Coordinates at Point tool, the survey point moves, but the geometry stays in place.
The Mirror Project tool mirrors the elements in the entire project across a line that passes through the project base point according to the direction you choose.