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) |