Analogy — Choose the pair that preserves the same relationship: Rectangle : Pentagon :: ____

Difficulty: Easy

Correct Answer: Triangle : Rectangle

Explanation:


Introduction / Context:
This is a shape–sides progression analogy. A rectangle (4 sides) becomes a pentagon (5 sides) by increasing the side count by one. We must pick the option that mirrors this specific “+1 side” transition.


Given Data / Assumptions:

  • Rectangle has 4 sides; pentagon has 5 sides.
  • The rule is “polygon with n sides → polygon with n+1 sides”.


Concept / Approach:
Map the same operation to a different starting polygon. A triangle has 3 sides; add one side to get a quadrilateral (rectangle is a special quadrilateral).


Step-by-Step Solution:

1) 4 → 5 (rectangle → pentagon) is +1 side.2) Apply to triangle (3 sides): 3 → 4 (rectangle).


Verification / Alternative check:
No other option presents a clean “adjacent polygon by sides” relation.


Why Other Options Are Wrong:

  • Diagonal : Perimeter and Side : Angle — not polygons nor a “+1 sides” progression.
  • Circle : Square — circle is not a polygon and does not fit the sides rule.


Common Pitfalls:
Confusing any shape pairing with the specific numeric progression.


Final Answer:
Triangle : Rectangle

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