Squares do.
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In rhombuses and squares the diagonals bisect opposite angles.
The diagonals will not always bisect opposite angles in the rectangle.
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.
The diagonals of a rectangular shape will only bisect opposite angles if, in fact, the shape is a square. Otherwise they will not bisect them.
yes