Any kite or square.
If the diagonals of a quadrilateral are perpendicular to each other, then the quadrilateral is a square.Or a kite.
A parallelogram is one of them.
No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or square).
Square, rhombus and a kite quadrilateral
kite
A rhombus.
It is an isosceles trapezoid.
trapezoid
A Parallelogram and a rhombus
the anser to this question is a trapiezuim as it could have right angles and its diagonals definatly do not bisect each other
Rhombus rhombus
The converse of the rectangle diagonal conjecture states that if the diagonals of a quadrilateral are equal in length, then the quadrilateral is a rectangle, which implies that its corners are right angles. To test if the corners of a quadrilateral are right angles, measure the lengths of the diagonals. If the diagonals are equal, you can conclude that the corners are right angles, confirming that the shape is a rectangle.