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A trapezoid, in general, does not have congruent sides.
It is a trapezoid. If the 2 nonparallel sides are congruent, then it is an isosceles trapezoid.
yes
A trapezoid with congruent diagonals is an isosceles trapezoid.
No, not all angles in a trapezoid are congruent. A trapezoid may have two pairs of congruent angles, or may have no congruent angles.