1. Translation: After an object or figure is translated, its shape, size and direction will not change.

Second, the axial symmetry:

1, axisymmetric figure:

When a figure is folded in half along a straight line, the two sides can completely overlap. Such a figure is called an axisymmetric figure, and this straight line is called an axis of symmetry.

2. The characteristics and properties of axisymmetric graphics: ① the distance between corresponding points and the axis of symmetry is equal; ② The connecting line of the corresponding point is perpendicular to the symmetry axis;

③ The figures on both sides of the symmetry axis have the same size and shape.

Fold the plate in half along the symmetry axis, the corresponding points overlap, the corresponding line segments overlap, and the corresponding angles overlap.

An isosceles triangle has 1 symmetry axis, an equilateral triangle has 3 symmetry axes, a rectangle has 2 symmetry axes, a square has 4 symmetry axes, and an isosceles trapezoid has 1 symmetry axis. Any trapezoid or parallelogram is not an axisymmetric figure. )

Third, rotation.

1. Rotation: The motion of an object around a certain point or axis is called rotation (clockwise and counterclockwise).

2, the object rotation should grasp three points (three elements):

(1) the center of gravity when rotating;

② direction of rotation;

③ Rotation angle.

3. The essence of graphic rotation: the corresponding point and line rotate by the corresponding degree, the distance from the corresponding point to the rotation point is equal, and the corresponding angle is equal.

4. Features of graphic rotation: After graphic rotation, its shape and size have not changed, but its position has changed.

Netizen replied.

There are three kinds of graphic transformations: axial symmetry, translation and rotation.

1, translated by:

It refers to the movement of all points in a plane at the same distance in a certain direction. This kind of graphic movement is called graphic translation movement, which is called translation for short. Translation does not change the shape and size of the object. Translation may not be horizontal.

2. Rotate:

In the in-plane channel, the graph transformation that rotates a graph by an angle around a certain point is called rotation, this point is called rotation center, and the rotation angle is called rotation angle. If point P on the graph rotates into point P', then these two points are called corresponding points of this rotation.

3, axial symmetry:

On the plane, the plate is folded along a straight line, and the parts on both sides of the straight line can completely overlap. This straight line is called the axis of symmetry. Weight graphs that are completely symmetrical on both sides of an axis, including graphs that are completely symmetrical in color and shape, are called axisymmetric graphs.