Before and after the change, the figure only changes in position, shape and size, the corresponding angles are equal, the corresponding edges are equal, and the figure is congruent.

Second, the difference between translation, axial symmetry and rotation:

(A) the way of change is different

1, translation: in a plane, a figure moves a certain distance in a straight line in a certain direction.

2. Axisymmetric: the graph is folded along a straight line. If it can overlap with another figure, then these two figures are called axisymmetric.

3. Rotation: In the plane, rotate a figure around a fixed point (or an axis) by a certain angle in a certain direction.

(2) Different in nature

1. Translation: the translated figure is parallel (or on a straight line), which is equal to the corresponding line segment of the original figure.

The line segments connecting the corresponding points of each group are parallel (or on a straight line) and equal.

2. Axisymmetry: the distance from the corresponding point to the axis of symmetry is equal; The symmetry axis is the perpendicular bisector of any pair of corresponding point segments.

3. Rotation: the distance from the corresponding point to the rotation center is equal, and the rotation angular velocity is equal.

Extended data:

Before and after the changes of 1, translation, axis symmetry and rotation, only the position of the figure has changed, but the shape and size have not changed.

2. Translation, axial symmetry and rotation have different ways and properties.

(1) Axisymmetric: refers to the positional relationship of the graph. If a graph is folded along a straight line, if it can overlap with another graph, then the two graphs are axisymmetric.

For two figures that are symmetrical about a straight line, then the symmetry axis is the median vertical line of any pair of corresponding point segments.

The axis of symmetry is not a line segment, and an axisymmetric figure does not necessarily have only one axis of symmetry.

(2) Translation: moving a figure in a certain direction for a certain distance in a plane.

Translation does not change the size and shape of the graphics, that is, the graphics are congruent before and after translation. The line segments connected to the corresponding points of the figure before and after translation are parallel and equal.

(3) Rotation: in a plane, move a figure around a fixed point in a certain direction.

In the two graphs before and after rotation, the distance between the corresponding point and the rotation center is equal.

If a figure can overlap itself after rotating for a certain angle, it is a rotationally symmetric figure.

References:

Baidu Encyclopedia-Translation

Baidu Encyclopedia-Axisymmetric

Baidu Encyclopedia-Rotation (Mathematical Graphic Transformation)