If it has at least one set of parallel sides, then at least one set of angles are congruent
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false; if both pairs
Yes, it is.
Yes. It's definitely a parallelogram, and also definitely a rhombus. And if one of its angles happens to be 90 degrees, then it's also a square.
Yes, an isosceles trapezoid has one pair of congruent opposite sides and congruent base angles
Then, the opposite sides are congruent.