A trapezoid is isosceles if and only if its base angles are congruent. In an isosceles trapezoid, the non-parallel sides (legs) are equal in length, and the angles adjacent to each base are equal. Therefore, the correct statement is that an isosceles trapezoid has congruent base angles.
(0.5 point) A trapezoid is isosceles if and only if its (base angles, legs) are congruent.
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