Most quadrilaterals do not.
Rhombus.
Square.
Most quadrilaterals will not have congruent diagonals: rectangles (incl squares) and isosceles trapezium are the exception.
i think its a trapezoid...
A quadrilateral in which adjacent angles are congruent is called a kite. In a kite, the adjacent angles formed by the intersecting diagonals are congruent. This property distinguishes a kite from other types of quadrilaterals, such as a parallelogram or a rhombus, where adjacent angles are not necessarily congruent. Kites have specific properties and characteristics that make them a unique type of quadrilateral in geometry.
No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or square).
A quadrilateral with four congruent sides and uncongruent diagonals is a Rhombus. See related link for a picture
The quadrilateral that must have diagonals that are congruent and perpendicular is the square. This is because its diagonals form a right angle at its center.
congruent
Rhombus.
Square.
It is a square.
square
A square
A quadrilateral that does not always have congruent diagonals is a trapezoid. In a trapezoid, which has at least one pair of parallel sides, the diagonals are generally not congruent unless it is an isosceles trapezoid. Other types of trapezoids can have diagonals of different lengths. Thus, congruent diagonals are not a defining characteristic of all trapezoids.
A rhombus
A square would fit the given description.