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I don't think this is possible. there is not a quadrilateral with these qualities. If it is a quadrilateral, it will automatically have parallel lines, but there is not one that has both. The closest one would be the trapezoid, with a set of parallel lines, but no right angle. The square and rectangle have two sets of parallel lines and 4 right angles.

Q: Show you a quadrilateral with one set parallel lines and one right angle?

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A right angle trapezoid

Yes. Not here, of course, but it can be done. Draw a right angle. Draw two more lines from those end points at acute angles that connect in the middle. It will look something like a chevron, a "V" shape.

It is nearly the shape of a square but one side is sloping and I think it is called a trapezoid

Right angle triangle, yup that's right

It is called a Rhombus.

Related questions

A right angle trapezoid

paralellogram

A right angle has no parallel lines, but it does have perpendicular lines that meet at right angles.

It is a right angled trapezoid

No, parallel lines do not meet at a right angle. In theory, parallel lines never meet. In practice, parallel lines on earth could meet at the North Pole and/or the South Pole. Perpendicular lines meet at a right angle.

Yes. Not here, of course, but it can be done. Draw a right angle. Draw two more lines from those end points at acute angles that connect in the middle. It will look something like a chevron, a "V" shape.

It is a kite whose diagonals are perpendicular to each other and form 4 right angles.

a quadrilateral where each angle is a right angle

It is a rhombus or a parallelogram

that's a rhombus with no right angle

A trapezoid is a quadrilateral that has one pair of parallel sides. Since a right angle is formed by two perpendicular lines, it would mean that one of the non-parallel sides would have to be perpendicular to one of the parallel sides, which violates the definition of a trapezoid. Therefore, a trapezoid cannot have a right angle.

Such a shape cannot exist.