A regular 6 sided hexagon has 3 pairs of parallel sides
A parallelogram is a four sided shape where opposite sides are parallel and equal lengths. If you mean that ALL sides are equal lengths, you are looking for a rhombus.
A trapezoid.
An isosceles trapezium.
A rectangle has four sides with two equal lengths.
A quadrilateral as described is a parallelogram. If the angles between the two sets of parallel lines are 90 degrees, the shape is a rectangle, a special form of parallelogram.
A quadrilateral
Trapezoid
retangle
An isosceles trapezoid is a 4 sided quadrilateral that has 1 pair of opposite parallel sides of different lengths and has 2 equal diagonals plus equal base angles.
It is an 8 sided shape with 8 equal lengths
A rhombus (UK), or rhomboid (US), is a quadrilateral parallelogram which can have no right angles. An example is the plane shape we refer to as a 'diamond'. A right-angled rhombus is called a square. If only two sides of the quadrilateral plane figure are parallel, it is called a trapezium (UK), or trapezoid (US). The two sides which are not parallel may or may not be of equal lengths. If their lengths are equal the shape is called an isoscoles trapezium;
A trapezoid has only one pair of parallel sides of different lengths.