In the same plane, moving a figure to a certain distance without changing its shape and size is called translation. In affine geometry, translation is to move every point of an object in the same direction by the same distance.

Basic nature:

After translation, the corresponding line segments are parallel (or * * * lines) and equal, the corresponding angles are equal, and the line segments connected by the corresponding points are parallel and equal. Translation transformation does not change the shape, size and direction of the graphics (the two graphics are conformal before and after translation).

The shape and size of (1) graph have not changed before and after translation, but the position has changed.

(2) After the graphic is translated, the line segments connected by the corresponding points are parallel (or on the same straight line) and equal.

(3) Multiple consecutive translations are equivalent to one translation.

(4) Even symmetrical figures are equal to translation figures.

(5) Translation is determined by direction and distance.

(6) After translation, the corresponding line segments are parallel (or * * * lines) and equal, the corresponding angles are equal, and the line segments connected by the corresponding points are parallel (or * * * lines) and equal.