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Star charts can be a bit confusing like that. You will find different charts with different orientations depending on their intended use. e.g. some are reversed left to right to suit the view through a telescope.
In the case of the charts you have imagine yourself at the south pole. Now you face north all the time and the charts are correct.
Easiest way to line them up is to lie on your back with your head south and hold the chart up against the sky, this is the view the chart gives you. Roll the chart from east to west to follow the 'movement of the stars'.
Once you get used to it you can do it standing up.
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