Its diagonals are congruent. One set of parallel sides. The other two non parallel lines are congruent.
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No.
No, it does not.
Not normally but if it's an isosceles trapezoid they are congruent
No because the properties of a rhombus are different to a trapezoid
There is no simple formula and, in any case, the answer will depend on what information about the trapezoid is given.