No: the very nature of the word "quadrilateral" tells you that there must be four sides. "Quad" is a prefix meaning "four".
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a trapezium
There are actually I think two with only two parallel sides. A square and a rectangle
No, because an octagon has 8 sides, whereas a quadrilateral has only 4 sides.
No, because a quadrilateral has 4 sides, whereas a triangle has only 3 sides.
Only one quadrilateral has only two parallel sides: the trapezium.