Yes.
Yes.
In a quadrilateral, the diagonals are only congruent for rectangles (or squares, which is a special kind of rectangle). Note: they are not congruent for a Rhombus.
Most quadrilaterals will not have congruent diagonals: rectangles (incl squares) and isosceles trapezium are the exception.
Yes that is true.
Isosceles trapezoids, squares, and rectangles.
Rectangles, Squares, and Isosceles Trapeziods.
Only rectangles (squares included) have congruent diagonals, because all their angles are congruent (90 degrees). If you have angles larger or smaller than 90 degrees it makes the diagonals different lengths.
the squares diagonal are all congruent to each other, and the diagonals make 4 isoceles triangles.
Any rectangle will have diagonals that are equal. Don't forget that since squares are also a special type of rectangle that they would also have congruent diagonals as well.
are the diagonals in a trapezoid congruent
No, kites do not have congruent diagonals.
The diagonals are perpendicular, but not necessarily congruent.