One pair of perpendicular lines would create one right angle. Some kites have one right angle.
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A quadrilateral with one pair of parallel lines would be a trapezoid. : P
trapezium
TRAPEZOID
There can be only one pair of perpendicular lines in an isosceles triangle when it is a right angled isosceles triangle. A non right angled isosceles triangle has no pairs of perpendicular lines.
A right angle trapezoid