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.

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.

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!