Translation (geometry)

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Translation, in geometry, is the act of "sliding" some shape along the coordinate plane by moving all points equally in the same direction.[1] This can be accomplished by modifying the x and y coordinates of each (see table below), and as with any geometric transformation, the new points have the ' after them, read as "prime".[2]

Direction Algebra Sample Point A Sample Distance A'
Up Addition to the y-coordinate (1,5) Up 2 (1,7)
Down Subtraction to the y-coordinate (-3,2) Down 6 (-3,-4)
Right Addition to the x-coordinate (-6,-2) Right 5 (-1,-2)
Left Subtraction to the x-coordinate (-7, 13) Left 8 (-13, 13)


  1. Webster's Third New International Dictionary.
  2. Carter, Cuevas, Day, Malloy, Casey, Holliday. Indiana Algebra 2. Glencoe, McGraw-Hill, 2011.