This document discusses translations using vectors. It defines a translation as sliding every point of a figure the same distance, and notes that a translation is an isometry that preserves length and angle measure. The Translation Theorem states that a translation is an isometry, so that the corresponding angles and sides of the original and translated figures are congruent. A vector is then defined as having both direction and magnitude, and it is explained that a vector can be represented by its horizontal and vertical components.
