In this analogy question on basic geometry, Rectangle is related to Four, so you must select the figure and number pair that stands in the same relation from the given alternatives.

Difficulty: Easy

Correct Answer: Triangle : Three

Explanation:


Introduction / Context:

This is a simple geometry-based analogy question. The pair "Rectangle : Four" connects a shape to the number of its sides. Your task is to identify which of the given pairs follows exactly the same type of relationship between a geometric figure and the count of its sides. Knowledge of basic plane shapes is sufficient to answer this question correctly.


Given Data / Assumptions:

- A rectangle is a quadrilateral with four sides.
- A triangle has three sides.
- A square is also a quadrilateral with four equal sides.
- A general polygon can have many sides, typically more than or equal to three.
- A circle does not have straight sides; it is defined by a continuous curve.
- The options link each figure to a suggested number of sides: Square : Seven, Polygon : Two, Circle : Six, Triangle : Three and Hexagon : Five.


Concept / Approach:

The relationship between Rectangle and Four is "name of the figure : correct number of sides." We need another pair where the right-hand number correctly states the number of sides of the figure on the left. We will check each option against standard geometric facts and select the one that accurately matches. At the same time, we must ensure that the relationship type is identical to the original pair, focusing strictly on the count of sides.


Step-by-Step Solution:

Step 1: Confirm the base relationship. A rectangle has four sides, so "Rectangle : Four" is figure to correct number of sides. Step 2: Examine "Square : Seven". A square has four sides, not seven, so the number is wrong. Step 3: Examine "Polygon : Two". A polygon must have at least three sides, so two is not a valid count. Step 4: Examine "Circle : Six". A circle has no straight sides; instead, it forms a continuous curved boundary, so six is not an accurate side count. Step 5: Examine "Triangle : Three". A triangle has three straight sides, so this pair is correctly matched. Step 6: Examine "Hexagon : Five". A regular hexagon has six sides, so five is incorrect. Step 7: Only "Triangle : Three" parallels "Rectangle : Four" by giving the correct number of sides for the figure.


Verification / Alternative check:

To further verify, list standard side counts: triangle (3), quadrilateral including rectangle and square (4), pentagon (5), hexagon (6) and so on. Comparing these with the numeric values in each option shows that every pair except "Triangle : Three" contains a deliberate mismatch. Therefore, "Triangle : Three" is the unique pair that preserves the same relationship as "Rectangle : Four".


Why Other Options Are Wrong:

Square : Seven is incorrect because a square is a four-sided figure, not a seven-sided one.

Polygon : Two is invalid since no polygon can have only two sides; at least three sides are required to form a closed polygonal shape.

Circle : Six is wrong because a circle is not defined by straight sides at all, so associating it with six sides is conceptually incorrect.

Hexagon : Five is wrong because a hexagon has six sides, not five.


Common Pitfalls:

Some test takers may misremember the number of sides of a hexagon or become distracted by the word polygon. Others may think that since a circle can be approximated by many small line segments, it might be linked to a larger number such as six. However, exam questions rely on standard textbook definitions, where the side counts mentioned are exact and not approximations.


Final Answer:

The pair that correctly mirrors "Rectangle : Four" is Triangle : Three.

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