In general, a trapezoid (or a trapezium) meets that condition. It has a pair of parallel lines, and then a couple of others that are not (excluding the "special cases" of the parallelogram, rectangle and square). A link can be found below.
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A trapezoid has two parallel lines.
The four sided shape that has two parallel lines is called a trapezoid. A parallelogram is a four sided shape that has two pairs of parallel lines.
Trapezoid
parallelogram
A square.