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.
This kind of movement that moves all the points on the graph in a certain direction by the same distance is called the translation movement of the graph, which is called translation for short.
Conditions of translation: the conditions that determine the translation movement are the direction and distance of translation.
Translation action
1. Fine graphics can be built by simple translation. That is, lace is usually used for decoration, and the process is copy-translation-paste.
2. Translation is often related to parallel lines. Translation can translate an angle, a line segment and a figure to another position, which is the concentration of scattered conditions on a figure, thus solving the problem.
Overall induction:
1. Move the whole graph along a straight line and you will get a new graph. The shape and size of the new graphic are exactly the same as the original graphic.
2. Every point in the new image is obtained by moving a point in the original image, and these two points are corresponding points. The line segments connecting the corresponding points of each group are parallel and equal (or on the same straight line).