Yes
Parallelogram and rhombus.
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.
It is a rhombus or a kite
All four sides are equal.The diagonals bisect each other at right angles.Opposite angles are equal.All four sides are equal.The diagonals bisect each other at right angles.Opposite angles are equal.All four sides are equal.The diagonals bisect each other at right angles.Opposite angles are equal.All four sides are equal.The diagonals bisect each other at right angles.Opposite angles are equal.
Its diagonals bisect each other at right angles
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.
A quadrilateral whose diagonals bisect each other at right angles is a rhombus. each other at right angles at M. So AB = AD and by the first test above ABCD is a rhombus. 'If the diagonals of a parallelogram are perpendicular, then it is a rhombus
The diagonals of a rhombus are perpendicular and intersect each other at right angles which is 90 degrees.
Parallelogram and rhombus.
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.
Only a square and a rhombus will have all its diagonals bisecting vertices. In other shapes some - but not all - diagonals can bisect vertices.
It is a rhombus or a kite
Only if the parallelogram is in the form of a rhombus will its diagonals bisect each other at right angles
Only for a square or rhombus (diamond shape). The diagonals of a rectangle bisect each other, but are not perpendicular and do not bisect the opposite angles they join.
A rhombus is a parallelogram with all 4 sides congruent. The diagonals bisect(split in have) the interior angles. The diagonals are perpendicular to each other.
The diagonals of a square, rhombus and a kite bisect each other at right angles.
All four sides are equal.The diagonals bisect each other at right angles.Opposite angles are equal.All four sides are equal.The diagonals bisect each other at right angles.Opposite angles are equal.All four sides are equal.The diagonals bisect each other at right angles.Opposite angles are equal.All four sides are equal.The diagonals bisect each other at right angles.Opposite angles are equal.