What is symmetric property?

The symmetric property is a fundamental property in mathematics that states that if a relation or operation holds between two elements A and B, then the same relation or operation also holds when the elements are reversed (i.e., B and A).

In other words, if A is related to B, then B is also related to A. This property is commonly seen in operations such as addition and multiplication, where the order of the operands does not affect the result.

For example, in mathematics, the symmetric property can be seen in the equation 3 + 5 = 8. This equation is symmetric because it also holds true that 5 + 3 = 8.

The symmetric property is also important in geometry, where it applies to shapes and figures. For example, if a figure is symmetrical, it means that there exists a line of symmetry along which the figure can be folded so that both sides match exactly.

Overall, the symmetric property is a fundamental concept in mathematics and is used in various contexts to describe the relationship between elements, equations, and shapes.