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To complete problem 6a, I'll number the steps in the correct order for constructing a perpendicular bisector of segment \( AB \):

1. **Start with a line segment \( AB \).**
2. **Place a compass at point \( A \). Set the compass width to approximately two-thirds of the line length. The actual width does not matter.**
3. **Without changing the compass width, draw an arc above and below the line.**
4. **Again, without changing the compass width, place the compass point on \( B \). Draw an arc above and below the line so that the arcs cross the first two.**
5. **Using a straightedge, draw a line between the points where the arcs intersect.**

Now, for part 6b, you would follow these same steps with the actual line segment \( AB \) to construct the perpendicular bisector.

Would you like more details on any of these steps?

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Here are five related questions you might find helpful:

1. What are the general properties of a perpendicular bisector?
2. Why is it important not to change the compass width during this construction?
3. How can you verify that the line you've drawn is perpendicular to \( AB \)?
4. How can you use this construction technique to find the midpoint of \( AB \)?
5. In what other geometric constructions is this technique useful?

**Tip:** When using a compass, try to make smooth, consistent arcs to ensure intersections are clear and accurate.

Number the steps to construct a perpendicular bisector of segment AB. Then, using only a compass and straight edge, construct the perpendicular bisector of segment AB.

Learn how to construct the perpendicular bisector of a line segment AB step-by-step using a compass and straightedge. Follow detailed instructions on how to properly set the compass width, draw arcs, and connect intersections to form the bisector. This construction technique is crucial for understanding key geometric concepts and the Perpendicular Bisector Theorem.

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