No, in general, they do not.
A square has two diagonals that bisect each other at 90 degrees
they are called parallelogram in which diagonals are equal
Quadrilaterals do not bisect each other. They could in special cases. In parallelograms (types of quadrilaterals), the diagonals bisect each other.
Squares do.
Rhombus and square are the only quadrilaterals whose diagonals bisect the angles of the quadrilateral. In both these quadrilaterals, the diagonals intersect at right angles, dividing each angle into two equal parts.
Square, rhombus and a kite have diagonals that bisect each other at 90 degrees
Parallelograms.
squares
Quadrilaterals that have diagonals which do not bisect each other include general parallelograms, trapezoids (especially isosceles trapezoids), and irregular quadrilaterals. In these shapes, the diagonals may intersect at a point but do not split each other into equal halves. This differentiates them from special cases like rectangles and squares, where the diagonals do bisect each other.
Either a square or rectangle fit this description.
In a quadrilateral, the diagonals do not have to bisect each other or be perpendicular. These properties hold true for specific types of quadrilaterals, such as rectangles (where diagonals bisect each other and are equal) and rhombuses (where diagonals bisect each other at right angles). However, in general quadrilaterals, the diagonals can have various lengths and angles without conforming to these conditions.
Arrow head