The quadrilateral that is described with the given properties is known as; Rhombus
A quadrilateral is defined as a closed shape and a type of polygon that has four sides, four vertices and four angles.
Now, we are told that at least at least two pairs of consecutive sides are congruent, diagonals are perpendicular to one another.
The only quadrilaterals that fit into thus definition are square and rhombus.
Now, we are told that the quadrilateral cannot be inscribed in a circle. A square can be inscribed in a circle but not a rhombus and as such we can say that the quadrilateral with the given properties is a rhombus,
Read more about Quadrilaterals at; https://brainly.com/question/5715879
#SPJ1