Apply settlement-hierarchy logic: A hamlet is to a village as a metropolis is to what?

Introduction / Context:
Using Recovery-First, the original “Heart : Village” is incoherent for settlement hierarchy. Correcting to “Hamlet : Village” restores a standard scale relation: hamlet < village < town < city < metropolis. Therefore, metropolis corresponds to city, mirroring the same category (human settlements) at a higher scale.

Given Data / Assumptions:
We compare settlement types by size/complexity in common geography usage.

Concept / Approach:
Preserve type-within/higher-level mapping inside the same domain. “City” is the proper counterpart to “metropolis” as a superlative or very large city; both are settlement types. “Urban” is an adjective; “district” is an administrative unit; “place” is too generic; “capital” is a political role, not size class.

Step-by-Step Solution:

Verification / Alternative check:
Metropolis literally means a very large or chief city; pairing with “city” is taxonomically consistent.

Why Other Options Are Wrong:
They do not represent the required settlement-type counterpart.

Common Pitfalls:
Choosing “urban” due to association, but breaking noun–noun type matching.

Final Answer:
City