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Because a reflection reverses the direction of the component of the wave vector of the light hitting the reflecting surface which is orthogonal to the surface. The component parallel to the surface will not change.

This means the light going towards a mirror, will go away from the mirror after reflection. But if it went from the left to the right, it will continue to go from the left to the right. Same with up and down.

In three dimensions this is the same as changing the handedness of the image.

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Q: Why does a reflection not preserve orientation of a figure on the plane?
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What changes the position or orientation of a figure on a coordinate plane?

This is a transformation which could be a rotation, translation or reflection.


What does a line reflection not preserve?

A reflection in a line l is a correspondence that pairs each point in the plane and not on the linewith point P' such that l is the perpendicular bisector of segment PP'. IF P is on l then P is paired with itself ... Under a reflection the image is laterally inverted. Thus reflection does NOT preserve orientation...


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It could be a reflection with the mirror line outside the figure; it could be a rotation with the centre of rotation outside the figure; or it could be a translation.


What is a closed figure in a plane?

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