Which of the following is the most accureate method to copy a given line segment ?

Options

A. Trace method
B. Ruler and compasses
C. Protractor
D. Divider only

Answer

To copy a given line segment accurately, we can follow these steps using a ruler and compass:

### Step-by-Step Solution:

1. **Identify the Line Segment**:
- Let’s say we have a line segment \( PQ \) that we want to copy. Mark the endpoints as \( P \) and \( Q \).

**Hint**: Always label the endpoints of the line segment clearly.

2. **Draw a Base Line**:
- On your paper, draw a horizontal line. This will serve as the base for your copied line segment.

**Hint**: Make sure the base line is long enough to accommodate the length of the line segment you are copying.

3. **Measure the Length of the Line Segment**:
- Using a ruler, measure the length of the line segment \( PQ \).

**Hint**: Ensure that you measure from point \( P \) to point \( Q \) accurately.

4. **Set the Compass**:
- Take a compass and adjust its width to the length of the line segment \( PQ \) by placing one end of the compass at point \( P \) and the other at point \( Q \).

**Hint**: Make sure the compass is not too loose or too tight; it should hold the distance firmly.

5. **Copy the Length**:
- Without changing the width of the compass, place the pointed end on the starting point of your base line (let's call it point \( A \)).

**Hint**: Ensure that the compass point is firmly placed on point \( A \) to avoid any movement.

6. **Draw an Arc**:
- Swing the compass to draw an arc above or below the base line. This arc represents the length of the line segment \( PQ \).

**Hint**: The arc should be clear and distinct so that you can mark the next point accurately.

7. **Mark the Second Point**:
- Now, using the ruler, mark the point where the arc intersects the base line. Let’s call this point \( B \).

**Hint**: Double-check that the distance \( AB \) is equal to the original line segment \( PQ \).

8. **Finalize the Line Segment**:
- Finally, draw a straight line between points \( A \) and \( B \). This line segment \( AB \) is the copied segment of \( PQ \).

**Hint**: Use a ruler to ensure that the line is straight and neat.

### Conclusion:
The most accurate method to copy a given line segment is by using a ruler and compass, as it allows for precise measurement and replication of the length without any errors.

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