Translation (geometry)

Common card · No. 334602

In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system. In a Euclidean space, any translation is an isometry. A translation is an isometry that displaces the original figure according to a direction, a sense, and a length (vector). Translations preserve the direction and length of line segments, and the amplitudes of angles. A slide is a translation along a screw axis, around which a rotation may also occur. Practical examples of translation include elevators, escalators, conveyor belts and playground slides. In translational symmetry, the figure "slides" along a line, remaining unchanged. In all translations, it is observed that the same element moves in a certain direction and always parallel to itself, that is, without ever rotating. In a frieze...

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