Question

Shawndra said that it is not possible to draw a trapezoid that is a rectangle, but it is possible to draw a square that is a rectangle. Marcella said that it is possible. Who is correct? Explain your answer using the properties of quadrilaterals.

Answer 1

Marcella is correct for this problem

Answer 2

Solution :

Shawndra said that it is not possible to draw a trapezoid that is a rectangle, but it is possible to draw a square that is a rectangle.

The bases of the trapezoid are parallel to each other but the sides,angles and diagonals of the trapezoid are not congruent . While the opposite sides, angles and the diagonals of  the rectangle are congruent .Therefore , it is not possible to draw a trapezoid that is a rectangle.

A square is a parallelogram whose  opposite sides are parallel and congruent, all angles are right. These properties are also found in a rectangle. Therefore,  it is possible to draw a square that is a rectangle.

Hence, Shawndra is saying correct.