A translation is a transformation where all points of the figure are moved the same distance in the same direction. The distance and direction are indicated by a ray sometimes called the translation vector. A vector is a quantity that has both length and direction, and can be thought of as a line segment with a starting point and an endpoint. A translation is an isometry, so the image of a translated figure is congruent to the preimage.
Often, the rule for the translation will be given as (x, y) → (x + a, y + b). This is a shift a units in the x-direction (horizontally) and b units in the y-direction (vertically). For instance, in the coordinate plane below the translation (x, y) → (x + 4, y – 2) shifts each point 4 units to the right and 2 units down. I hope this help
