why does light get inverted only horizontally and not vertically
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Explanation:
Mirrors don't reverse left to right, they reverse front to back. Consider this, when you look at yourself in a mirror, it appears to you that your reflection is another person who looks just like you standing behind a piece of glass, at the same distance from the glass as yourself and facing you. To get there, you reason, that person walked behind the glass and - here's the important bit - turned 180 degrees about the vertical axis to face you. Now his/her left hand should be opposite your right hand, and vice versa. In fact this assumption is wrong. Your reflection didn't do a 180 degree turn. It was reversed front to back with no rotation at all.
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