Minimum number of line segments required to form a closed figure :

Options

A. 2
B. 3
C. 4
D. None of these

Answer

To solve the question of the minimum number of line segments required to form a closed figure, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Line Segments**:
- A line segment is a straight line that connects two points. It has a definite length and does not extend infinitely.

2. **Analyzing One Line Segment**:
- If we draw one line segment, it simply connects two points. This cannot form a closed figure because a closed figure requires all points to connect back to the starting point.

**Hint**: Remember that a closed figure must have all its endpoints connected.

3. **Analyzing Two Line Segments**:
- If we try to create a closed figure with two line segments, we can only connect two points with one segment and then connect another point to one of those points with the second segment. This still does not create a closed figure.

**Hint**: Think about how many endpoints you have with two segments.

4. **Analyzing Three Line Segments**:
- Now, if we use three line segments, we can connect them in such a way that they form a triangle. By connecting the endpoints of each segment, we create a closed figure.

**Hint**: Visualize connecting three points in space to see how they can form a triangle.

5. **Conclusion**:
- Since we have established that one and two line segments cannot form a closed figure, but three line segments can, we conclude that the minimum number of line segments required to form a closed figure is **three**.

### Final Answer:
The minimum number of line segments required to form a closed figure is **3**.