Select the option in which the words share the same relationship as that shared by the given pair of words.

Dentist : Doctor

The correct option is Chemistry : Science.

Step-by-step Explanation:

1. Analyze the relationship in the given pair:
The given pair is Dentist : Doctor.
A dentist is a specific type of practitioner that falls under the broader, general category of a doctor. Therefore, the relationship is: [Specific Sub-category] : [General Category].

2. Evaluate the options to find the same relationship:

• Biology : Astrology - Biology is a legitimate natural science, while astrology is a pseudoscience. They do not represent a sub-category and its general class.
• Chemistry : Science - Chemistry is a specific branch (sub-category) of the broader field of Science (general category). This matches the relationship in the given pair exactly.
• Algebra : Geometry - Both are distinct branches of mathematics. They are related as coordinate branches rather than a sub-category and a general category.
• Line : Circle - Both are different geometric entities and do not share a member-to-group relationship.

Since Chemistry is a type of Science in the same way that a Dentist is a type of Doctor, this option shares the identical relationship.