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Transformation of Figures in a Plane

A translation slides every point of a figure by the same amount in the same direction. The size, shape, and orientation stay the same; only the position changes.

A rotation turns a figure around a fixed center through a given angle. Distances from the center stay constant, so the image remains congruent to the original.

A reflection flips a figure across a mirror line. Each point and its image are the same distance from the line, and the segment joining them is perpendicular to it.