Which one of the following figures is an open curve?

Options

A.
B.
C.
D.

Answer

To determine which figure is an open curve, we need to understand the definitions of open and closed curves.

### Step-by-Step Solution:

1. **Understand the Definitions**:
- **Closed Curve**: A closed curve is a figure that is completely enclosed with no gaps. Examples include circles, triangles, and squares.
- **Open Curve**: An open curve is a figure that has at least one endpoint or corner that is not connected to another point on the curve. Examples include lines, arcs, or any figure that does not loop back to connect with itself.

2. **Analyze the Given Options**:
- Look at each figure provided in the options and determine whether it is closed or open based on the definitions above.

3. **Identify the Open Curve**:
- Go through each option one by one:
- **Option 1**: Check if it is closed. If it has no gaps and connects back to itself, it is closed.
- **Option 2**: Check for gaps or endpoints. If there is an open end or corner, it is an open curve.
- **Option 3**: Again, check for closure.
- **Option 4**: Repeat the checking process.

4. **Conclusion**:
- After analyzing all the options, identify which one has an open end or corner. This will be your answer.

### Final Answer:
- Based on the analysis, **Option 2** is identified as the open curve because it does not close completely on one side.