What is a defining feature of a square's diagonals?

A defining feature of a square's diagonals is that they are always equal in length and bisect each other. In a square, the diagonals connect opposite corners and due to the properties of the square being a regular quadrilateral, these diagonals not only have the same length but also intersect at their midpoint, effectively dividing each diagonal into two equal segments. This bisecting property is a fundamental characteristic of the diagonals in all rectangles, but in a square, this equality and bisection hold particularly true due to the square's symmetry and equal side lengths.

The intersection point of the diagonals is also the center of the square, affirming their role in maintaining the square's symmetry. This attribute is unique to shapes like squares and rectangles, contrasting sharply with polygons that do not necessarily have equal-length diagonals or do not bisect each other.