Which of the following options has one fixed end point and can be extended in the other direction indefinitely ?

Options

A. A ray
B. A line
C. A line segment
D. All of these

Answer

To solve the question, we need to identify which of the given options has one fixed endpoint and can be extended indefinitely in the other direction. Let's analyze the options step by step.

### Step-by-Step Solution:

1. **Understanding the Definitions**:
- **Ray**: A ray has one fixed endpoint and extends infinitely in one direction.
- **Line**: A line extends infinitely in both directions and has no endpoints.
- **Line Segment**: A line segment has two fixed endpoints and does not extend infinitely.

2. **Analyzing Option A (Ray)**:
- A ray, for example, \( \overline{AB} \) where point A is the fixed endpoint and point B extends indefinitely in one direction.
- This satisfies the condition of having one fixed endpoint and extending indefinitely in the other direction.

3. **Analyzing Option B (Line)**:
- A line, for example, \( \overline{AB} \), extends infinitely in both directions.
- Since it does not have a fixed endpoint, this option does not satisfy the condition.

4. **Analyzing Option C (Line Segment)**:
- A line segment, for example, \( \overline{AB} \), has two fixed endpoints A and B.
- This option also does not satisfy the condition as both ends are fixed.

5. **Conclusion**:
- Only option A (Ray) satisfies the requirement of having one fixed endpoint and extending indefinitely in the other direction.
- Therefore, the correct answer is **Option A**.