Using a compass and a straightedge, a student constructed a triangle in which XY is one of the sides.

The length of the compass so that ΔXYZ is isosceles and not equilateral could be;
Option C; between ¹/₂XY and XY
Option E; greater than XY
We are told that;
Student has drawn a line XY
Now the student opened the compass with a set length to draw two intersecting arcs with X and Y as centers.
Now, for these two arcs to meet, the compass has to be opened to a length that is more than half of segment XY.
Secondly, since the triangle is not equilateral, it means the compass cannot be opened to length AB.
The next step would be t open the compass to a length slightly bigger or slightly smaller than AB.
Finally, the options that apply are Options C and E.
Read more about construction of Isosceles triangles at; https://brainly.com/question/2520169