Yes; all parallelograms have diagonals that bisect each other.
Other properties of parallelograms are:
* The opposite sides are congruent. * The opposite sides are parallel. * The opposite angles are congruent.
A square has two diagonals that bisect each other at 90 degrees
Yes
No, not all diagonals are perpendicular in all parallelograms. In general parallelograms, the diagonals bisect each other but are not necessarily perpendicular. However, in specific types of parallelograms, such as rhombuses, the diagonals are indeed perpendicular. Thus, the property of perpendicular diagonals is not a characteristic of all parallelograms.
Parallelograms.
Squares.
A square has two diagonals that bisect each other at 90 degrees
Yes
No, not all diagonals are perpendicular in all parallelograms. In general parallelograms, the diagonals bisect each other but are not necessarily perpendicular. However, in specific types of parallelograms, such as rhombuses, the diagonals are indeed perpendicular. Thus, the property of perpendicular diagonals is not a characteristic of all parallelograms.
Parallelograms.
They do in some parallelograms, not in others.
Squares.
A square. All squares are parallelograms, but not all parallelograms are squares.
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.
Parallelograms (including rectangles and squares)
Quadrilaterals do not bisect each other. They could in special cases. In parallelograms (types of quadrilaterals), the diagonals bisect each other.
Yes. Other things about parallelograms: -opposite sides are equal in length. -opposite angles are equal in length. -diagonals bisect each other.
The opposite sides of a square are parallel and of equal length. Therefore the opposite triangles that the diagonals make are congruent and, as a result, they bisect on another. This is also the reason that they do so in all parallelograms.