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In a trapezoid, which feature characterizes an isosceles trapezoid?

  1. Congruent nonparallel sides

  2. Two pairs of parallel sides

  3. A quadrilateral with one right angle

  4. Four congruent sides

The correct answer is: Congruent nonparallel sides

An isosceles trapezoid is characterized by having congruent nonparallel sides. This means that the two sides that are not parallel are of equal length, which distinguishes an isosceles trapezoid from other types of trapezoids. The congruence of these sides leads to certain properties, such as the base angles being equal, which contributes to the symmetry of the shape. The other characteristics outlined in the options do not apply to an isosceles trapezoid. While a trapezoid is defined by having one pair of parallel sides, not two pairs, and does not necessarily have to have right angles or four congruent sides, which would indicate a square rather than a trapezoid. Thus, the defining feature of the nonparallel sides being congruent is what sets the isosceles trapezoid apart.