Most quadrilaterals do not.
Most quadrilaterals will not have congruent diagonals: rectangles (incl squares) and isosceles trapezium are the exception.
The diagonals are perpendicular, but not necessarily congruent.
they are called parallelogram in which diagonals are equal
quadrilaterals are consecutive and opposite angles always congruent?
Rectangles
Not generally.
Most quadrilaterals do not.
A square and a rectangle have diagonals of the same lengths.
rectangle and parallelogram
rectangle and parallelogram
there is nothing listed
Most quadrilaterals will not have congruent diagonals: rectangles (incl squares) and isosceles trapezium are the exception.
A square
Parallelograms or isosceles trapezium.
No. An isosceles trapezium (isosceles triangle with its apex removed) would have congruent diagonals but it is not a parallelogram.
square, rectangle and an isosceles trapezoid.