A trapezoid is a quadrilateral with 1 set of parallel sides.
A parallelogram is a quadrilateral with 2 sets of parallel sides.
A rectangle is a parallelogram with 4 right angles.
A square is a rectangle with 4 equal sides.
A rhombus is a parallelogram with 4 equal sides.
- Parallel lines are lines which do not intersect.
Perpendicular lines are lines which intersect at right angles.
Trapezoids have 1 set of parallel sides.
Trapezoids can have right angles, and, therefore, perpendicular sides.
So, the quadrilateral could be a trapezoid.
Parallelograms have parallel sides.
Parallelograms have perpendicular sides when they are rectangles.
So, if it is a rectangle, the quadrilateral could be a parallelogram.
Similarly, if it is a square, the quadrilateral could be a parallelogram.
A rhombus has parallel sides.
A rhombus has perpendicular sides when it is a square.
So, if it is a square, the quadrilateral could be a rhombus.