1, parallelogram is a geometric figure, but it is not an axisymmetric figure. It is defined as a closed figure consisting of two parallel straight line segments on the same two-dimensional plane. Parallelogram belongs to a central symmetric figure, and its symmetric center is the intersection of two diagonal lines. Parallelogram can form its own symmetry through rotation, translation and other transformations, but this symmetry is not axisymmetric.
2. Axisymmetry means that after a plane figure is folded along a straight line, the parts on both sides of the straight line can overlap each other. For axisymmetric graphics, there is an axis of symmetry, so that the graphics on both sides can completely overlap after being folded along this axis. But for parallelogram, we can't find such an axis of symmetry, so that the figures on both sides can completely overlap after being folded along this axis.
We can imagine a parallelogram on a plane. No matter which straight line we choose as the symmetry axis, diagonal line or midline, we can't make the figures on both sides completely coincide. Parallelogram lacks the properties required for axial symmetry. Parallelogram has no axisymmetric property. It is a central symmetrical figure, and its symmetrical center is the intersection of two diagonal lines.
Axisymmetric correlation information
1, axial symmetry is a geometric concept, which means that after a graph is folded along a straight line, the parts on both sides of the straight line can overlap each other. Axisymmetric phenomena are common in nature and daily life, such as the shapes of leaves and petals and the wings of butterflies. Axisymmetry not only has aesthetic value, but also is widely used in mathematics, physics, engineering and other fields.
2. The concept of axial symmetry originated from the geometric axiom system put forward by the ancient Greek mathematician Euclid in his book Elements of Geometry. Among them, "Axisymmetric Axiom" is an axiom in Euclidean geometry, which expresses the property that after a graph is folded along a straight line, the parts on both sides of the straight line can overlap each other. In the subsequent development of mathematics, axial symmetry has become an important tool for research and application.
3. Application in the field of mathematics. Axisymmetry is also of great significance in physics and engineering. In physics, many natural phenomena can be described by axisymmetric theory, such as crystal structure, electromagnetic field and so on. In engineering, axial symmetry is widely used in architectural design, mechanical design and other fields. Designers use axial symmetry to create balanced and stable works.