It depends on what you mean by bisect. All rectangles have diagonals that bisect the other one. Only certain rectangles (Squares) have diagonals that bisect its vertex, the ninety degree angle.
Yes
Parallelograms (including rectangles and squares)
The diagonals are equal in length and bisect each other forming vertical opposte equal angles
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.
If the diagonals of a parallelogram bisect its angles, then the parallelogram is a rhombus. In a rhombus, all sides are equal, and the diagonals not only bisect each other but also the angles at each vertex. This property distinguishes rhombuses from other types of parallelograms, such as rectangles and general parallelograms, where the diagonals do not necessarily bisect the angles. Thus, the statement implies a specific type of parallelogram.
No, a rectangle's diagonals do not bisect opposite angles.
The diagonals of a square (which always bisect each other) are the same length.
Not for every parallelogram. Only for a rhombus (diamond) or square will the diagonals bisect the opposite angles they connect, and diagonals are perpendicular. In rectangles, the diagonals do not bisect the angles and are notperpendicular, but they do bisect each other.
Yes
Bisect: Yes At 90 degrees: No
Parallelograms (including rectangles and squares)
The diagonals are equal in length and bisect each other forming vertical opposte equal angles
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.
If the diagonals of a parallelogram bisect its angles, then the parallelogram is a rhombus. In a rhombus, all sides are equal, and the diagonals not only bisect each other but also the angles at each vertex. This property distinguishes rhombuses from other types of parallelograms, such as rectangles and general parallelograms, where the diagonals do not necessarily bisect the angles. Thus, the statement implies a specific type of parallelogram.
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.
A square has two diagonals that bisect each other at 90 degrees
Only a square and a rhombus will have all its diagonals bisecting vertices. In other shapes some - but not all - diagonals can bisect vertices.