Trapezoid
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Any shape that contains a section of a plane can have an infinite number of parallel lines in it.
British = trapezoid ; American = trapezium
Yes, it is possible for a shape to have at least one pair of parallel lines and no lines of symmetry. For example, an irregular trapezoid has one pair of parallel sides but lacks any lines of symmetry due to its uneven angles and side lengths. This demonstrates that parallel lines and symmetry are independent properties in geometric shapes.
There are parallel lines, rectangles and arrays of stars 5 by 6 and 4 by 5.
A trapezoid has two parallel lines.