Which figure has diagonals that bisect each other and are equal?

The figure in question with diagonals that bisect each other and are equal is specifically a square. In a square, not only do the diagonals bisect each other, but they are also of equal length. This is a defining property of a square.

While rectangles also have diagonals that bisect each other and are equal, the definition is more restrictive in the context of the original question. Trapezoids, however, generally do not meet these criteria as their diagonals may not intersect at all or do not necessarily have the same length.

The conclusion that all figures listed possess these properties is inaccurate, as only the square and rectangle fit the bill, whereas a trapezoid does not. Thus, the correct answer should focus solely on the specifics of the square and rectangle without generalizing to 'all of the above.'