They could be congruent, but not necessarily. It cannot be assumed that they are.
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what is the congruent diagonals each of which divides the figure into two congruent isosceles right triangles
Squares.
A square has two diagonals that bisect each other at 90 degrees
It can be :- 1- a parallelogram 2- Square if diagonals are perpendicular and congruent 3- Rectangle if diagonals are congruent 4- Rhombus if diagonals are perpendicular
No because a kite is a 4 sided quadrilateral with two diagonals of different lengths that intersect each other at right angles.