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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.

User Xvan
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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.

User DNT
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