A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the coordinate system's origin or as adding a constant vector to each point.
A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a set of fixed points known as the hyperplane, also known as the axis or plane of reflection. A figure's reflection creates its mirror image of that figure in the plane or axis of the reflection.
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