To draw a peprendicular bisecto of a line segment AB, first draw a circle by taking ____ as centre and radius ___ AB.

Options

A. A, less then half
B. Mid-point of AB equal
C. B, less then half
D. A or B, more than half

Answer

To draw a perpendicular bisector of a line segment AB, follow these steps:

### Step-by-Step Solution:

1. **Identify the line segment AB**: Start by clearly marking the endpoints of the line segment AB on your paper.

2. **Choose the center for the circle**: Select either point A or point B as the center for your compass.

3. **Set the radius**: Open your compass to a width that is more than half the length of the line segment AB. This is crucial as it ensures that the arcs you draw will intersect.

4. **Draw the first arc**: Place the compass point on point A and draw an arc above and below the line segment AB.

5. **Draw the second arc**: Without changing the compass width, move the compass point to point B and draw another arc above and below the line segment AB.

6. **Mark the intersection points**: The two arcs will intersect at two points. Label these intersection points as C and D.

7. **Draw the perpendicular bisector**: Using a ruler, draw a straight line connecting points C and D. This line is the perpendicular bisector of the line segment AB.

### Final Answer:
- The center of the circle is either **A or B**.
- The radius is **more than half of AB**.