If two line segments cut each other at right angles then they are ____.

Options

A. Parallel
B. Perpendicular
C. Both (a) and (b)
D. None of these

Answer

To solve the question "If two line segments cut each other at right angles then they are ____," we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Right Angles**:
- A right angle is an angle that measures 90 degrees. When two lines intersect and form a right angle, they are said to cut each other at right angles.

**Hint**: Remember that a right angle is always 90 degrees.

2. **Identifying the Types of Lines**:
- When two line segments intersect at right angles, they form a specific relationship. We need to determine what this relationship is.

**Hint**: Think about how lines can relate to each other when they meet at a right angle.

3. **Definition of Perpendicular Lines**:
- Lines that intersect at a right angle (90 degrees) are known as perpendicular lines.

**Hint**: Recall that perpendicular lines always form four right angles at the point of intersection.

4. **Eliminating Other Options**:
- The other options provided in the question are parallel lines and none of these.
- Parallel lines do not intersect at all, while "none of these" does not apply since we have identified a specific relationship.

**Hint**: Consider the definitions of parallel lines and how they differ from perpendicular lines.

5. **Conclusion**:
- Therefore, if two line segments cut each other at right angles, they are **perpendicular**.

### Final Answer:
If two line segments cut each other at right angles then they are **perpendicular**.

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