Rectangles, Squares, and Isosceles Trapeziods.
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are the diagonals in a trapezoid congruent
No, kites do not have congruent diagonals.
A trapezoid Trapezoid - 2 congruent diagonals that do not bisect each other. No right angles and has 1 pair of opposite parallel sides.
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.
The diagonals are not congruent unless the parallelogram happens to be a rectangle.