weird geometry question

Question

A quadrilateral has diagonals that do NOT bisect each other. Which of the following types of quadrilaterals could it be?

A)Parallelogram

B) Rectangle

C) Rhombus

D) Square

E) Trapezoid

Any help will be appreciated. Please try to be as thorough as possible and show all work. THANK YOU!!!!

Answer 1

The diagonals of a parallelogram are mutually bisecting.

A), B), C), and D) are all parallelograms.

 

E)