One parallel side is like one scissor, one tweezer, one plier, one pant, and one hand
clapping. Without another one, there's no such thing. A line can't be parallel if it
doesn't have another line to be parallel to, and if it has, then the other line is also
parallel to the first one. Parallel things always come in groups of at least two. So
there's no shape that satisfies the description in the question.
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Quadrilaterals are two-dimensional shapes that have four sides. Quadrilaterals that have only one set of parallel sides are called trapezoids.
No, trapezoids are not rectangles. While both shapes have four sides, rectangles have opposite sides that are equal in length and all interior angles are right angles, whereas trapezoids have only one pair of opposite sides that are parallel.
No. Parallelograms have only 4 sides with 2 sets of parallel sides: they include squares, rectangles, and rhombuses (rhombi, diamond shapes). Because opposite angles are equal, each pair of parallel sides is equal in length. (For squares and "equilateral rhombi" all four sides are equal in length.)
A trapezoid is not a parallelogram. A trapezoid is a quadrilateral with at least one pair of parallel sides, while a parallelogram is a quadrilateral with two pairs of parallel sides. These two shapes have different properties and cannot be considered the same.
A trapezoid is a 4 sided quadrilateral that has only one pair of opposite parallel sides of different lengths.