The answer to this riddle is a mirror. Whatever is put in front of the mirror will be turned around in the reflection seen, but the mirror does not move.
The mirror shows an exact reflection of what is in front of it, but the image looks "turned around." For example, words or numerals may appear backwards.
However, when standing in front of the mirror, the right hand is directly in front of the image of the right hand. The left hand is also directly in front of the image on the left side of the mirror. Mirrors are also used in telescopes and other tools to produce images or gather information.