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.
The shape you are describing is a parallelogram. In a parallelogram, the opposite sides are parallel and have equal lengths. Examples of parallelograms include rectangles, rhombuses, and squares.
Yes, a quadrilateral can have no parallel lines. For example, a general irregular quadrilateral, where no sides are equal or parallel, fits this description. Such a shape can have all four sides of different lengths and angles, resulting in no parallel sides.
The shape you are describing is a trapezoid (or trapezium in some regions). Specifically, it is an isosceles trapezoid, where the two non-parallel sides are equal in length while the two parallel sides are of different lengths. This configuration creates a trapezoid with the specified characteristics.
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 shape with all parallel sides is a parallelogram. In a parallelogram, opposite sides are both equal in length and parallel to each other. Common examples include rectangles and rhombuses, which also have additional properties like right angles and equal side lengths, respectively. Thus, while all parallelograms have parallel sides, not all have the same characteristics.
A quadrilateral
Trapezoid
retangle