Which property allows a figure to coincide with itself when rotated around a point between 0 and 360 degrees?

The property that allows a figure to coincide with itself when rotated around a point between 0 and 360 degrees is known as rotational symmetry. This means that a shape can be rotated by a certain angle about a specific point and still look the same as it did before the rotation.

For example, a square exhibits rotational symmetry; if you rotate it by 90 degrees, 180 degrees, 270 degrees, or even 360 degrees, it appears unchanged. The center of the square acts as the point of rotation. This characteristic is crucial in identifying shapes that maintain their appearance upon rotation, distinguishing them from shapes that do not have this property.

In contrast, line symmetry pertains to figures that can be divided into two mirrored halves, point symmetry refers to figures that are symmetric about a central point (with every point having a corresponding point at an equal distance in the opposite direction), and translational symmetry involves a figure being able to be moved in a certain direction by a set distance and appearing unchanged. Each of these concepts addresses different types of symmetries, but only rotational symmetry specifically involves rotation around a point.