In the following question, Find out which of the alternatives (a),(b),(c) and (d) indicates the correct relationship between three given words?
Triangle, Four-sided figure, Square

Options

A.
B.
C.
D.

Explanation

To solve the problem of finding the correct relationship between the words "Triangle," "Four-sided figure," and "Square," we can use logical reasoning and Venn diagrams. Here's a step-by-step solution:

### Step 1: Identify the Categories
We have three categories:
1. Triangle
2. Four-sided figure
3. Square

### Step 2: Analyze the Relationships
- A **Triangle** is a polygon with three sides. It does not belong to the category of four-sided figures.
- A **Square** is a specific type of four-sided figure (also known as a quadrilateral). All squares are four-sided figures, but not all four-sided figures are squares.

### Step 3: Create the Venn Diagram
1. Draw a large circle to represent the category of **Four-sided figures**.
2. Inside this large circle, draw a smaller circle to represent the **Square**. This indicates that a square is a subset of four-sided figures.
3. Draw a separate circle for **Triangle** that does not overlap with the Four-sided figure circle, indicating that triangles are not part of the four-sided figure category.

### Step 4: Conclusion
From the Venn diagram:
- The Square is inside the Four-sided figure circle.
- The Triangle is outside of the Four-sided figure circle.

### Step 5: Identify the Correct Option
Based on the relationships depicted in the Venn diagram, we can conclude that the correct option is the one that shows:
- A circle for Four-sided figures containing a smaller circle for Square.
- A separate circle for Triangle that does not overlap with the Four-sided figure circle.

Thus, the correct answer is option (c).

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