Your ad can show on the Google Search Network when someone searches for terms that are similar to your:

Keywords
Website
Placements
Ad text

Explanation: When someone searches on Google, your ad could be eligible to appear based on the similarity of your keywords to the person’s search terms, as well as your keyword match types. Keywords are also used to match your ad to sites in the Google Network that are related to your keywords and ads. Read more here

Find all AdWords Fundamentals Questions and Answers here.