Which of the following statements is incorrect?

Options

A. Two parallel lines will always intersect.
B. A triangle is a three sided polygon.
C. A line has no end points.
D. The diameter of a circle is double of its radius.

Answer

To determine which statement is incorrect, let's analyze each option provided in the question.

### Step 1: Analyze the statements

1. **Statement 1**: "Two parallel lines will always intersect."
- **Analysis**: By definition, parallel lines are lines in a plane that do not meet; they are always the same distance apart and will never intersect. This statement is incorrect.

2. **Statement 2**: "A triangle is a three-sided polygon."
- **Analysis**: This statement is correct. A triangle is indeed a polygon with three sides.

3. **Statement 3**: "A line has no end points."
- **Analysis**: This statement is correct. A line extends infinitely in both directions and has no endpoints.

4. **Statement 4**: "A line segment connects two points."
- **Analysis**: This statement is correct. A line segment has two endpoints and connects those two points.

5. **Statement 5**: "The diameter of a circle is double its radius."
- **Analysis**: This statement is correct. The diameter is indeed twice the length of the radius.

### Step 2: Conclusion

After analyzing all the statements, we find that:

- Statement 1 is incorrect.
- All other statements (2, 3, 4, and 5) are correct.

### Final Answer

The incorrect statement is: **"Two parallel lines will always intersect."**

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