Analogy — choose the pair that continues the “polygon with n sides to polygon with n+1 sides” pattern as in Rectangle : Pentagon.

Difficulty: Easy

Correct Answer: Triangle : Rectangle

Explanation:


Introduction / Context:
“Rectangle : Pentagon” moves from a four-sided polygon to a five-sided polygon (n to n+1). The question asks for another pair that mirrors this numeric progression within the polygon family.


Given Data / Assumptions:

  • Rectangle has 4 sides; pentagon has 5 sides.
  • We need a pair that moves from a polygon with n sides to the next with n+1.
  • Only polygon-to-polygon comparisons are relevant.


Concept / Approach:
Check which option represents a move from 3 to 4, or in general from a lower-sided polygon to the next one. “Triangle : Rectangle” shifts from 3 sides to 4 sides, matching the pattern and the direction (simpler to more complex polygon).


Step-by-Step Solution:

Count sides: Triangle = 3, Rectangle = 4.Compare with stem: Rectangle = 4, Pentagon = 5.Both pairs show +1 in side count within polygons.


Verification / Alternative check:
Try other options: if they are not both polygons or do not involve n to n+1, they fail the mirrored structure. “Triangle : Rectangle” is the only clean match.


Why Other Options Are Wrong:

  • Side : Angle — not polygons; unrelated attributes.
  • Diagonal : Perimeter — polygon properties, not distinct polygons.
  • Circle : Square — circle is not a polygon; relation is categorical mismatch.


Common Pitfalls:
Confusing polygon attributes with polygon types, or picking pairs that do not reflect a consistent incremental step within the same category.


Final Answer:
Triangle : Rectangle

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