Question

You are building a door frame. The two sides are parallel and the top and bottom are also parallel. Which additional statement does not give enough information to conclude that the door frame forms a rectangle?

Answer 1

"The diagonals of the door frame are congruent."

Explanation:

The statement that would not give enough information would be "The diagonals of the door frame are congruent." This is because a rectangle does have congruent diagonals but a rhomboid also has congruent angles and has opposing parallel sides. Therefore, this statement does not give sufficient information to prove that the object in question is a rectangle. We would need more information such as the length of the sides or the degree of the angles.