Final answer:
Yes, you can construct a square using AC as one of its diagonals by locating the midpoint, drawing perpendicular bisectors, and connecting the vertices.
Step-by-step explanation:
The question asks if it is possible to construct a square using segment AC as one of its diagonals. The answer is Yes, it is possible to construct a square with a given diagonal. To do so, locate the midpoint of the diagonal AC, which will be the center of the square. Then, draw perpendicular bisectors to AC through this midpoint, at a length equal to half of AC's length on both sides of the midpoint. These will be the vertices of the square. Connect the vertices to form the square. Every diagonal of a square bisects the square and is bisected by the square's center, and each diagonal is equal in length, thus making this construction possible.