Understanding Analogies: Chapter, Book, Arc

Analogy questions test your ability to find the relationship between a given pair of words and apply the same relationship to another word to find the missing term. In this question, we need to find the word that has the same relationship with 'Arc' as 'Chapter' has with 'Book'.

Analyzing the First Pair: Chapter and Book

Let's look at the relationship between 'Chapter' and 'Book'.

• A 'Chapter' is a distinct section or part of a 'Book'.
• A 'Book' is typically made up of several 'Chapters'.

So, the relationship is one of "Part : Whole", where the first term ('Chapter') is a part of the second term ('Book').

Applying the Relationship to the Second Pair: Arc and Options

Now we need to apply the same "Part : Whole" relationship to the term 'Arc'. We are looking for a whole entity of which an 'Arc' is a part. Let's examine the given options:

• Option 1: Cube - A Cube is a three-dimensional shape with flat faces. An 'Arc' is a curved line, not a part of a Cube.
• Option 2: Triangle - A Triangle is a two-dimensional shape with three straight sides. An 'Arc' is a curved line, not a part of a Triangle.
• Option 3: Square - A Square is a two-dimensional shape with four equal straight sides. An 'Arc' is a curved line, not a part of a Square.
• Option 4: Circle - A Circle is a two-dimensional shape consisting of all points in a plane that are at a given distance from a central point. An 'Arc' is a curved segment of the circumference of a 'Circle'. This fits the "Part : Whole" relationship.

Determining the Correct Analogy Pair

Based on our analysis, the relationship "Part : Whole" holds true for the pair 'Chapter : Book'. We need to find the option for which 'Arc' is a part of that option. An 'Arc' is indeed a part of a 'Circle'.

Summary of the Analogy

The analogy follows the pattern: Part : Whole. Just as a Chapter is a part of a Book, an Arc is a part of a Circle.

Revision Table: Analogy Concepts

Additional Information: Parts of a Circle

Understanding the parts of a circle is helpful for geometry and analogy questions. Here are some key parts:

• Center: The central point from which all points on the circle are equidistant.
• Radius: A straight line segment from the center to any point on the circle.
• Diameter: A straight line segment passing through the center and connecting two points on the circle. It is twice the length of the radius.
• Circumference: The distance around the circle. This is the boundary line of the circle. An Arc is a portion of the circumference.
• Chord: A straight line segment connecting any two points on the circle.
• Secant: A line that intersects a circle at two points. It contains a chord.
• Tangent: A line that touches the circle at exactly one point.
• Arc: A continuous portion of the circumference of a circle. Arcs can be minor (less than a semicircle) or major (greater than a semicircle).
• Sector: A region of a circle bounded by two radii and the arc between them.
• Segment: A region of a circle bounded by a chord and the arc between the endpoints of the chord.