Final answer:
The correct code segment to replace the incomplete code in the getSmallest method is Option III.
Step-by-step explanation:
The correct code segment to replace code in the given method is Option III: for (int item : tRay) if (item < small) small = item;
This code segment iterates over each item in the array tRay and compares it with the current value of small. If the current item is smaller than small, it updates small to the smaller value.
Options I and II are incorrect because they use the index value i and item respectively as the index to access the array elements, which would result in an ArrayIndexOutOfBoundsException in this case.