What is the most precise classification of the quadrilateral formed by connecting the midpoints of the sides of a square?

A square again
Lets take a is side of a square.
if u take parts of square from mid point and measure distance or length of any sides that would be a/2

then use Pythagorean theorem to solve hypotenuse u will get all length of small quadrilateral a/√2.same for all sides.
I see that will be square again