If only the measures of the diagonals are given, which of these quadrilaterals can be constructed?
1) Square 2) Rectangle 3) Rhombus

To determine which quadrilaterals can be constructed from diagonal lengths, we need to analyze the properties of the diagonals for each type of quadrilateral:

Square: Diagonals are equal and perpendicular bisectors of each other.

Rectangle: Diagonals are equal but not necessarily perpendicular.

Rhombus: Diagonals are perpendicular bisectors but are not necessarily equal.

A square can be constructed if the diagonals are equal and their perpendicularity is enforced and sides are equal

A rectangle cannot be constructed with only equal diagonals, as perpendicularity can not enforced and side are not equal

A rhombus can be uniquely constructed from diagonal measures since the diagonals are perpendicular, and their sides are also equal.

Therefore, a rectangle and a rhombus can be constructed, but a square cannot be constructed with only the diagonal lengths. 

Thus, Option (d) is correct.