Question

Theresa asked a friend to draw a polygon with only 1 pair of parallel sides. Her friend said the polygon must be a trapezoid. Is Theresa's friend correct? Choose the best answer.

Answer 1

Yes, Theresa's friend is correct because a polygon with only one pair of parallel sides is defined as a trapezoid, a four-sided figure specific for having exactly one set of parallel sides.

Step-by-step explanation:

Theresa's friend is correct. A trapezoid is indeed the polygon that has only one pair of parallel sides. No other polygon has exactly one pair of parallel sides. Here's why:

By definition, a trapezoid is a four-sided figure (quadrilateral) with exactly one pair of parallel sides. Other quadrilaterals like squares, rectangles, and parallelograms have two pairs of parallel sides, and polygons with more than four sides cannot have exactly one pair of parallel sides without violating the definition of a polygon. Thus, a four-sided figure with only one pair of parallel sides, which Theresa's friend described, fits the definition of a trapezoid perfectly.