Final answer:
The question does not provide enough detail to give a specific next step in dividing a line segment into congruent parts, but typically, compass and straightedge constructions are used for such tasks in geometry. A diagram or further context is needed to provide an accurate response.
Step-by-step explanation:
The student's question appears to be a problem related to dividing a line segment into congruent segments, likely using a compass and straightedge, which is a common topic in geometry. Unfortunately, the question does not provide a complete diagram or sufficient context to determine what step Nelda should take next in the process. However, a typical next step after determining points could involve drawing new arcs or constructing additional lines to determine the location of the congruent segments, depending on what has already been accomplished in the previous steps.
In a general sense, when dividing a line segment into a certain number of congruent parts, one would typically use compass and straightedge constructions to create equal measurements along the line segment. Without a specific diagram or additional information, providing a step-by-step solution is not possible.