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If it has four equal sides, then two parallel sides implies two PAIRS of parallel sides. The shape is a rhombus.
If the shape (a quadrilateral) has only 2 parallel sides, it is a trapezoid (UK trapezium).A shape with four sides and two sets of parallel sides is a parallelogram (rectangle, square, rhomboid, rhombus) because these figures have four sides and two sets of parallel sides.
Any shape that is not a triangle may have 2 parallel sides, although regular polygons only have parallel sides when the number of sides is even. For a quadrilateral, a trapezoid(UK trapezium) has 1 set of parallel sides and a parallelogram (either a rhombus, rectangle, or square) has 2 sets of parallel sides.
An equilateral hexagon would work. It has more than 2 pairs of parallel sides though. There is no shape with only 2 pairs of parallel sides besides a parallelogram.
Square