All regular polygons.
The diagonals are perpendicular, but not necessarily congruent.
Most quadrilaterals will not have congruent diagonals: rectangles (incl squares) and isosceles trapezium are the exception.
Rhombus.
Square.
Yes the diagonals of a square are always congruent. Their length is a*root 2 where a is the side of the square.
what is the congruent diagonals each of which divides the figure into two congruent isosceles right triangles
If the diagonals are cong. then the figure is a rectangle.
A regular polygon.
If the diagonals are congruent and are perpendicular bisectors of each other then the parallelogram is a square. If the diagonals are not congruent but are perpendicular bisectors of each other then the figure would be a rhombus.
A square or a rectangle.
are the diagonals in a trapezoid congruent
No, kites do not have congruent diagonals.
The diagonals are perpendicular, but not necessarily congruent.
I think this is impossible the diagonals of a four sided figure will cross
No. The diagonals are perpendicular, but they dont have to be congruent.
A trapezoid with congruent diagonals is an isosceles trapezoid.
Only the diagonals of isosceles trapezoids are congruent.