Parallelograms or isosceles trapezium.
No. An isosceles trapezium (isosceles triangle with its apex removed) would have congruent diagonals but it is not a parallelogram.
Figures that do not always have congruent diagonals include trapezoids and general quadrilaterals. In a trapezoid, for instance, the diagonals can be of different lengths depending on the angles and side lengths. Similarly, most irregular quadrilaterals lack any specific properties that guarantee congruent diagonals. Only specific types of quadrilaterals, such as rectangles and squares, have congruent diagonals by definition.
All quadrilaterals have 2 diagonals
The diagonals of a rectangle are always congruent. This means that both diagonals have the same length, which is a property unique to rectangles and other types of quadrilaterals like squares. This congruence arises from the fact that rectangles have opposite sides that are equal in length and all angles that are right angles.
No. A small pentagon will have smaller diagonals than a large pentagon! However, all the diagonals of a regular pentagon will be congruent.
square
Not generally.
Rectangles
No. An isosceles trapezium (isosceles triangle with its apex removed) would have congruent diagonals but it is not a parallelogram.
Most quadrilaterals do not.
Figures that do not always have congruent diagonals include trapezoids and general quadrilaterals. In a trapezoid, for instance, the diagonals can be of different lengths depending on the angles and side lengths. Similarly, most irregular quadrilaterals lack any specific properties that guarantee congruent diagonals. Only specific types of quadrilaterals, such as rectangles and squares, have congruent diagonals by definition.
A square and a rectangle have diagonals of the same lengths.
Most quadrilaterals will not have congruent diagonals: rectangles (incl squares) and isosceles trapezium are the exception.
rectangle and parallelogram
rectangle and parallelogram
there is nothing listed
A square