The drawing of an axisymmetric figure is as follows: Take a triangle as an example, unfold the paper, find each point of the triangle, make a vertical line from each point to the axis of symmetry, then make a vertical line and extend it to the same distance as the corresponding point, and finally connect the points in turn to complete the axisymmetric figure.

To distinguish these two concepts, we should pay attention to: axisymmetric graphics must be folded along a straight line, and the parts on both sides of the straight line overlap each other. The key point is to grasp two points: one is to fold along a straight line, and the other is to overlap each other. A centrosymmetric figure is that the figure rotates around a certain point180 and coincides with the original figure. The key is to grasp two points: one is to rotate around a certain point, and the other is to coincide with the original figure.

In practical differences, axisymmetric graphics should be folded like origami, and axisymmetric graphics can overlap. The centrosymmetric figure only needs to be reversed to see if there is any change, and the centrosymmetric figure remains unchanged. At present, the common figures in primary school textbooks are classified as follows: the figures that are both axisymmetric and centrally symmetric are: rectangle, square, circle, diamond and so on.

There are only axisymmetric figures: angular, pentagonal, isosceles triangle, equilateral triangle, isosceles trapezoid, etc. , but only the figure with central symmetry: parallelogram.

Figures that are neither axisymmetric nor centrosymmetric include equilateral triangles, isosceles trapezoid, etc. A figure with both axial symmetry and central symmetry must have two or more axes of symmetry.

Refer to the above content: Baidu Encyclopedia-Axisymmetric Graphics