Yes
The diagonals will not always bisect opposite angles in a rectangle.
The diagonals will not always bisect opposite angles in the rectangle.
Yes
Square
No but they bisect each other at right angles
a rhombus
Yes they do
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
The diagonals will not always bisect opposite angles in a rectangle.
A rhombus has several features. its diagonals will bisect its opposite angles, and the opposite angles will measure equally.
rhombus
Suppose that the parallelogram is a rhombus (a parallelogram with equal sides). If we draw the diagonals, isosceles triangles are formed (where the median is also an angle bisector and perpendicular to the base). Since the diagonals of a parallelogram bisect each other, and the diagonals don't bisect the vertex angles where they are drawn, then the parallelogram is not a rhombus.
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.
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.
Parallelogram and rhombus.