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.
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Some of them (rectangles) do.
Diagonals are congruent
are the diagonals in a trapezoid congruent
No, kites do not have congruent diagonals.
The diagonals of a rhombus are always congruent. A rhombus is a quadrilateral with all sides of equal length. Due to its symmetry, the diagonals of a rhombus bisect each other at right angles, and they are always of the same length. This property distinguishes a rhombus from other quadrilaterals like rectangles or parallelograms.