Translation phenomena include: elevator movement, sliding slide, raising national flag, pulling drawers, train movement, pushing and pulling elevators, etc. Translation refers to moving a figure in a plane along a certain distance, which is called translation.

The car moves in a straight line, pushing and pulling the window switch and drawer.

Rotation in life: twist the nut with a wrench, take water from the windmill, and rotate the blades of the wind turbine around the shaft.

The basic properties of translation: 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 graph.

The elements of translation: one is the direction of translation, and the other is the distance of translation. Note: the translation of graphics is a position transformation, which only changes the position of graphics, but does not change the shape and size of graphics; The translation direction of the figure is not necessarily horizontal, but also vertical and oblique translation.

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Rotation: in a plane, a figure rotates around a fixed point by a certain angle to get the change of another figure, which is called rotation. Rotation is the movement that the distance between each point and the same point is constant when the object is moving, which is called rotation around this point, and this point is called the rotation center of the object. So, it doesn't have to be around an axis.

Translation and rotation are aimed at rigid bodies, so the distance between any two points remains the same when the object moves and will not be its mirror image. The motion of a point can always be regarded as translation.

The essence of rotation: the rotation of a figure means that every point on the figure moves around a fixed point on the plane at a fixed angle, and the distance from the corresponding point to the rotation center is equal.

The included angle between the corresponding point and the straight line connecting the rotation center is equal to the rotation angle. The figure before and after rotation is congruent, that is, the size and shape of the figure before and after rotation have not changed. The center of rotation is the only fixed point. The included angle of a set of corresponding points is equal to the rotation angle.