Answer:
The words "continue" and "continuity" share the same root. This makes them cognates.
Step-by-step explanation:
Cognates are words that are connected and have the same linguistic derivations i.e the same origin. These words may or may not have the same meaning. The cognates might not be of the same language either, but they might share a common origin. Some words might look similar to one another but in actual, they are not. These kinds of words are termed as false cognates.
Example: composite and composition.