Reflections in geometry produce mirror images of objects, switching signs of coordinates. Matrices can represent reflections in different planes.
Reflections in geometry are transformations that produce a mirror image of the pre-image. When an object is reflected, the image is found perpendicular to the reflection plane and equidistant from that plane on the opposite side.
Reflections preserve distances but do not preserve orientation. For example, when reflecting a point across the line y = x, the x and y coordinates of the point switch signs.
Matrices can be used to represent reflections in various planes, changing the coordinates of points relative to the mirror plane.
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