MATH SOLVE

5 months ago

Q:
# 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

Accepted Solution

A:

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.