Why do mirrors reverse images left-to-right?

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The discussion clarifies that mirrors do not reverse images left-to-right; instead, they reverse images front-to-back. When a person stands in front of a mirror, their left hand appears as a right hand due to this front-to-back reversal. The confusion arises because people are accustomed to the physical act of turning around to face someone, which creates the illusion of left-right reversal. The laws of reflection dictate that a point P=(x,y,z) is transformed to P'=(x,y,-z) for a mirror positioned along the z-axis.

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There has been this question that has been bothering me for quite sometime. It is an assignment question I failed to answer...

Can anyone explain to me in terms of light and the laws of reflection the reason why Mirrors reverse an image left-to-right?
 
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They don't.

When it is in front of you, it reverses front to back, not left-right. This makes your left hand look like a right hand.

When you stand on one, it reverses top to bottom. Only when it is to your side, does it reverse left-right.

Njorl
 
A mirror DOESN'T reverse anything. THAT'S why images in a mirror look peculiar. Imagine a person standing beside you stepping in front of you. In order for you to see her, she would have to turn around- i.e. reverse! Because you are used to that, when a mirror DOESN'T reverse, it looks peculiar.

Another example: look in the mirror as you are driving- everything LOOKS reversed. That's not because the mirror has reversed anything. In order to see the same thing without the mirror, you would have to turn around- reversing yourself. Using a mirror you lose that reversal you normally have.
 
I think what Njorl means by "reverses front to back" is that the operation defined by 'reflection' takes P=(x,y,z) to P'=(x,y,-z) for a mirror along z=0.
 
thanx guys.. you've helped me out ^_^
 

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