In a translation transformation all the points in the object are moved in a straight line in the same direction. The size, the shape and the orientation of the image are the same as that of the original object. Same orientation means that the object and image are facing the same direction. We describe a translation in terms of the number of units moved to the right or left and the number of units moved up or down. The top number represents the right and left movement. A positive number means moving to the right and a negative number means moving to the left. The bottom number represents up and down movement. A positive number means moving up and a negative number means moving down. In general, a translation can be represented by a column matrix or column vector where a is the number of units to move right or left along the x-axis and b is the number of units to move up or down along the y-axis. As a mathematical notation, we may write: T(A) = B, to mean object A is mapped onto B under the transformation T. Geometry Translation A geometry translation is an isometric transformation, meaning that the original figure and the image are congruent. Translating a figure can be thought of as ‘sliding’ the original. If the image moved left and down, the rule will be (x – __, y – __) where the blanks are the distances moved along each axis, for translations left and up: (x – __, y + __), for right and down (x + __, y – __), for right and up (x + __, y + __). We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page. Source.