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.
(4 points)
Marcella is correct. Both of Shawndra's statements are possible.
A trapezoid is a quadrilateral with only one pair of parallel sides. A rectangle is a quadrilateral with all four angles measuring 90 degrees. By the properties of quadrilaterals, it is not possible for a trapezoid to be a rectangle because a trapezoid does not have all four angles measuring 90 degrees.
On the other hand, a square is a special type of rectangle where all four sides are of equal length. Therefore, it is possible to draw a square that is also a rectangle since all the angles of a square are 90 degrees and it has all four sides of equal length, satisfying the properties of a rectangle.
In summary, Shawndra is incorrect about not being able to draw a trapezoid that is a rectangle, but correct about being able to draw a square that is also a rectangle.