quality:corruption, structural:reformatting
Translation

Translating a set of points of the plane, preserving the distances and directions between them, is equivalent to adding a fixed pair of numbers (a, b) to the Cartesian coordinates of every point in the set. That is, if the original coordinates of a point are (x, y), after the translation they will be

(x ′, y ′) = (x + a, y + b). {\displaystyle (x',y')=(x+a,y+b).}