We have a quadrilateral ABCD that has the following characteristics:
AB = CD
BC = DA
The diagonals are congruent (AC ≅ BD).
We can draw it as:
Parallelogram: it will have two pair of sides with equal length. The diagonals are not necessarily congruent, so this quadrilateral is not a parallelogram.
Rectangle / Square: They have 2 pair of equal sides (in the case of the square, all sides have the same length) and the diagonals are congruent, as both bisect the same angles.
Rhombus: a rhombus does not necessarily have congruent diagonals, so this quadrilateral is not a rhombus.
Trapezoid: they don't have two pairs of equal sides, so this quadrilateral is not a trapezoid.
Answer: Rectangle and Square.
