A quadrilateral ABCD has exactly one pair of sides parallel. Based on the given property of the quadrilateral ABCD, which of these is a valid conclusion? Quadrilateral ABCD must be a trapezoid. Quadrilateral ABCD must be a trapezoid or a parallelogram. Quadrilateral ABCD must be a kite or a trapezoid. Quadrilateral ABCD must be a kite.

Question

A quadrilateral ABCD has exactly one pair of sides parallel.     Based on the given property of the quadrilateral ABCD, which of these is a valid conclusion?   Quadrilateral ABCD must be a trapezoid.   Quadrilateral ABCD must be a trapezoid or a parallelogram.   Quadrilateral ABCD must be a kite or a trapezoid.   Quadrilateral ABCD must be a kite.

anonymous · Answer

Parallelograms have more than one pair of parallel sides. If it ABCD has only one pair, then it cannot be a parallelogram. A kite is a parallelogram, so that isn't an option. That leaves one possibility. Think about it.