Does the door translate or rotate?

In fact, in life, both translational doors and rotating doors are very common, but the more common door should be a rotating door, because if it is translational, all points on the door will move in the direction at the same time. They move in the same direction, but the door axis is always stationary when the door is opened and closed, so it can be regarded as the door rotating along the axis. The translation type is generally suitable for homes, while the rotation type and automatic induction translation type are suitable for large restaurants and hotels; the main door and toilet at home are revolving doors, and automatic doors and sliding doors are translation doors.

In a plane, the change of rotating a figure around a fixed point by a certain angle to obtain another figure is called rotation. This fixed point is called the center of rotation, and the angle of rotation is called the angle of rotation. If point A on a graph becomes point A' after rotation, then these two points are called corresponding points of rotation. Central symmetry: If a figure can coincide with another figure after being rotated 180 degrees around a certain point, then we say that the two figures form central symmetry. Centrally symmetrical figure: If a figure can coincide with itself after being rotated 180 degrees around a certain point, then we say that the figure forms a centrally symmetrical figure. For two figures that are symmetrical about the center, the lines connecting the symmetry points pass through the center of symmetry and are bisected by the center of symmetry. ?For two figures that are symmetrical about the center, the corresponding line segments are parallel (or on the same straight line) and equal.