Analogy — choose the part-to-whole relation that matches Arc : Circle.
Correct Answer: Segment : Line
Introduction / Context:“Arc : Circle” shows a strict part–whole geometric relation: an arc is a portion of a circle. We must select a pair that preserves this geometric subset relation with the same order (part → whole).
Given Data / Assumptions:
- An arc is part of a circle.
- We need a smaller geometric entity that is part of a larger one.
- Order must remain part first, whole second.
Concept / Approach:A segment is part of a line (a line segment). This is the closest parallel in elementary geometry: both pairs describe a portion of a fundamental geometric object.
Step-by-Step Solution:
Identify the category: geometric part of geometric whole.Match “segment : line” as “part : whole.”Reject pairs that reverse the order or do not reflect geometric subset relations.Verification / Alternative check:Define terms: a line segment is any finite part of a line; an arc is any connected part of a circle. The structural analogy matches perfectly.
Why Other Options Are Wrong:
- Number : Count — abstract relation, not part–whole geometry.
- Fraction : Percentage — equivalent representations, not part–whole.
- Pie : Slice — reversed (whole : part), not part first.
Common Pitfalls:Choosing conceptually related terms but missing the explicit part-first order. Always align both the relation and its direction with the stem pair.
Final Answer:Segment : Line