Odd One Out — Arc, Diameter, and Tangent are circle-specific terms; Diagonal primarily belongs to polygons (e.g., quadrilaterals). Identify the odd geometric term.

Difficulty: Easy

Correct Answer: Diagonal

Explanation:


Introduction / Context:
Geometric vocabulary can be grouped by the shapes they belong to. Three terms are standard circle concepts; one belongs to polygons.



Given Data / Assumptions:

  • Arc: a portion of a circle.
  • Diameter: a chord through the center of a circle with length 2*radius.
  • Tangent: a line touching a circle at exactly one point.
  • Diagonal: line segment joining non-adjacent vertices of a polygon; circles have no vertices.


Concept / Approach:
Assign each term to its natural geometric context and select the one not specific to circles.



Step-by-Step Solution:
Arc → circle term.Diameter → circle term.Tangent → circle term.Diagonal → polygon term → outlier.



Verification / Alternative check:
Ask: can the term be defined without reference to vertices? Circle terms do; a diagonal requires vertices (absent in circles).



Why Other Options Are Wrong:

  • Arc, Diameter, Tangent: canonical circle terminology.


Common Pitfalls:
Confusing “chord” and “diameter” vs “diagonal.” A chord/diameter is inside a circle; a diagonal is a polygon construct.



Final Answer:
Diagonal

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