Final answer:
In the analogy 'circuitous : tortuous :: obeisance : ___', the word 'reverence' would complete the analogy because both pairs show a relationship from a general to a more intense form of the first term.
Step-by-step explanation:
The question requires completing an analogy. The words given, 'circuitous' and 'tortuous', both describe paths or methods that are not straight but winding and difficult in their respective ways. 'Circuitous' means a route that is longer than the most direct way, and 'tortuous' refers to something full of twists and turns, which can be physically or metaphorically challenging. Therefore, the second pair of words must exhibit a similar relationship. 'Obeisance' is a gesture of respect or submission. To find a word that relates to 'obeisance' in the same way that 'tortuous' relates to 'circuitous', you would need a word that signifies intense respect or submission - a word such as 'reverence' fits this analogy.