I think this person means the trapazoid. It has only one pair of parallel sides.
It fits the description of a right angle triangle
It could be a right angle triangle
Any shape wit four of more sides can have one pair of parallel sides.
A quadrilateral with one pair of parallel sides is a trapezoid.
The first geometric shape that comes to mind with no perpendicular sides is a triangle.
Any polygon with four or more sides can have a pair of parallel sides. It is also possible to to have non-polygonal shapes - eg a cigar-shape - that has parallel sides.
A quadrilateral in the shape of a kite has no parallel sides
A trapezium is a shape with four sides. Of these, one pair of sides are parallel. The only restriction on the other pair is that they are not parallel (because you then have a parallelogram).