The given analogy is Circle : Arc :: Square : ?. To solve this analogy, we need to understand the relationship between the two items in the first pair and apply the same relationship to the second pair.
Understanding the Relationship:
An Arc is a part of the circumference of a Circle. In other words, an arc is to a circle what a segment or a line is to a square, as both represent a part of the boundary.
Applying the Relationship:
For a Square, which is a geometric shape with four equal straight sides, the corresponding part is a Line, as it is a component that makes up the boundary of the square.
Evaluating the Options:
Line: A line is a side of the square, similar to how an arc is part of the circle's circumference.
Triangle: This doesn't fit as a part of a square.
Sphere: It's a 3D object, irrelevant to the parts of a square.
Rectangle: Like a square, it's not a component but a different shape.
Conclusion:
Based on this relationship, the correct answer is Line, as it corresponds to a component of a square in the same way an arc corresponds to a component of a circle.