# What is central symmetry?

## What Does central symmetry Mean

Is called symmetry to the correspondence is recorded between the position, shape and size of those components which form a whole. Central , for its part, is the adjective that refers to what is linked to a center (the space equidistant from the limits of something).

The central symmetry , in this way, is considered from a point known as the center of symmetry . All corresponding points in a central symmetry are called homologous points and allow you to draw homologous segments that are equal and have corresponding angles that also measure the same.

In other words, the points A and A ' are symmetrical with respect to a center of symmetry it S when SA = SA' being A and A ' equidistant from S . It is important to note that SA and SA ' have the same length.
Just as, in a central symmetry, the image of a segment is another segment with the same length, the image of a polygon is another polygon congruent with the original, while the image of a triangle is another congruent triangle.
That means, therefore, that we can say that the central symmetry to be effective has to be based on two basic principles:

-That both the point and the center of the symmetry and the so-called image belong to the same line.

-That the image and the point are at the same distance from a point, which is called the center of symmetry and which is the point where the two axes cut.
If we focus on the triangles , on those that are symmetric with respect to a point, it is possible to modify the sign of the coordinates to go from any point to its symmetric.
Thus, if the coordinates of the points are A = (5, 2) , B = (2, 4) and C = (4, -2) , the coordinates of their symmetrics will be A = (-5, -2 ) , B = (-2, -4) and C = (-4, 2) .
When talking about central symmetry, it is usual that, in the same way, other types of symmetries are also put on the table as a way to compare them and to clarify the differences between them. Thus, for example, it is common to refer to what is known as axial, cylindrical or radial symmetry.
Specifically, that is used to refer to the symmetry that is established around an axis. That is, it becomes clear at the moment that the points of a given figure coincide with the points of another when a line is taken as a reference that becomes the axis of symmetry.
It is also determined that one of the singularities of axial symmetry is that in it a line can cause the figures to be divided in turn into two others that are congruent. However, the result of this can give rise to what are two inverse congruent forms, which are those that coincide by superposition at the moment in which they are rotated around what is the axis.

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