Translation (geometry)

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)

## References[edit]

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