Question

"A quadrilateral is a trapezoid if and only if it has exactly one pair of parallel sides."

If this statement is true, then which of the following statements must also be true?

A. A trapezoid has exactly one pair of parallel sides if and only if it is a quadrilateral.
B. A quadrilateral has exactly one pair of parallel sides if and only if it is a trapezoid.
C. A quadrilateral is not a trapezoid if and only if it has exactly one pair of parallel sides.
D. A quadrilateral does not have exactly one pair of parallel sides if and only if it is a trapezoid.

Answer 1

d is the correct answer

Answer 2

The given statement about Trapezoid is

 "A quadrilateral is a trapezoid if and only if it has exactly one pair of parallel sides."

Other Quadrilaterals, Parallelogram, Rhombus, Square, Rectangle and Kite can be also Called as Trapezoid.

Trapezoid is special name given to Quadrilateral which has only a single pair of Parallel sides.

Out of given options ,the correct Statement is

Option A:  A trapezoid has exactly one pair of parallel sides if and only if it is a quadrilateral.