Not normally but if it's an isosceles trapezoid they are congruent
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Its diagonals are congruent. One set of parallel sides. The other two non parallel lines are congruent.
A trapezoid with congruent diagonals is an isosceles trapezoid.
Only the diagonals of isosceles trapezoids are congruent.
No. The diagonals of a parallelogram are congruent if and only if the parallelogram is a rectangle.
No, the diagonals of a rhombus are not congruent, but they do intersect each other at 90 degrees.