Isosceles trapezoid

The isosceles trapezoid is a trapezoid with a single symmetry axis. Equivalently, it is a trapezoid with the same leg lengths and base angles. It has 1 top edge, 2 side edges of the same length, and 1 base edge. It has 2 pairs of identical vertice, as the angles at either end of the bsaes are the same.

If the legs intersect, the figure may more precisely be called a crossed isosceles trapezoid.

In vertex figures
Every polygonal antiprism has an isosceles trapezoid as its vertex figure. The vertex figures for the crossed antiprisms are themselves crossed, and thus crossed isosceles trapezoids. Seven other uniform polyhedra have trapezoidal vertex figures.