Shawndra made the two statements to Marcella:
it is not possible to draw a trapezoid that is a rectangle
it is possible to draw a square that is a rectangle.
Marcella said that both statements are possible:
it is possible to draw a trapezoid that is a rectangle
it is possible to draw a square that is a rectangle.
Who is correct? Explain your answer using the properties of quadrilaterals.
Marcella is correct.
A trapezoid is a quadrilateral with only one pair of parallel sides. On the other hand, a rectangle is a special type of quadrilateral with four right angles and opposite sides that are congruent and parallel. Since a trapezoid does not have four right angles, it is not possible for a trapezoid to be a rectangle. Therefore, Shawndra's statement that it is not possible to draw a trapezoid that is a rectangle is correct.
A square is also a special type of quadrilateral with four right angles and four congruent sides. All squares are rectangles, but not all rectangles are squares. Therefore, it is possible to draw a square that is a rectangle. Hence, Shawndra's statement that it is possible to draw a square that is a rectangle is also correct.
In summary, Marcella is correct that both statements are possible.