How can this quadrilateral be classified?

B. Trapezoid

Step-by-step explanation:

We have been given image of a quadrilateral. We are asked to classify our given quadrilateral.

Let us check our given choices one by one.

A. Parallelogram.

We can see that our given quadrilateral is square as its all sides are equal and perpendicular to each other.

Since sides of square are parallel to each other and opposite sides has equal measure, therefore, it is a parallelogram.

B. Trapezoid

We know that a trapezoid has one pair of parallel sides.

Since square has two pair of parallel sides, therefore, our given quadrilateral is not a trapezoid.

C. Rhombus

We know that each square is a rhombus, therefore, our given quadrilateral is a rhombus as well.

D. Square.

Our given quadrilateral is square as its all sides are equal and perpendicular to each other. Therefore, option D is correct as well.