An isosceles trapezoid
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A trapezoid with its nonparallel sides congruent is called an isosceles trapezoid.
The leg of a trapezoid is one of the two nonparallel sides of the trapezoid. However, the base of a trapezoid is of the two parallel sides of the trapezoid.
The nonparallel sides of a trapezoid are called the legs. The parallel sides are called the bases.
A trapezoid with two congruent, opposite sides is an isosceles trapezoid.
trapezoid * * * * * It cannot be a trapezoid because that does not have four congruent sides. In fact it need not have even two congruent sides. The correct answer is a rhombus.