Final answer:
The passage characterizes the Prefect by highlighting his ignorance and inability to solve the mystery, which corresponds to option D, reflecting his limitations and rigid methodology.
Step-by-step explanation:
The circumstances in the passage help characterize the Prefect by illuminating his ignorance. Despite his position and the expectations of his office, his inability to solve the mystery presented to him by different means suggests a lack of imagination and a rigid adherence to traditional methods. This interpretation of his character aligns most closely with option D: 'The discussion of the mysterious crime scene illuminates the Prefect's ignorance.'
This option directly ties the Prefect's character to his approach in solving the mystery of the Rue Morgue and Marie Roget's death. Rather than illustrating any odd parallels between the Prefect and the case, or revealing an innate mysterious nature within the Prefect himself, the passage highlights Dupin's cleverness and approach in contrast to the Prefect's failings.