Question

Which perpendicular bisector constructions are correct?

(Select all that apply.)

Answer 1

To determine the correct constructions for perpendicular bisectors, let’s consider the standard procedure for constructing a perpendicular bisector of a line segment:

1. **Select Points A and B**: Start with a line segment AB.
2. **Draw Arcs**: Using a compass, place the point at A and draw an arc above and below the line segment. Without changing the compass width, place the point at B and draw another arc that intersects the previous arcs.
3. **Label Intersections**: Label the points where the arcs intersect as C and D.
4. **Draw the Bisector**: Use a straightedge to draw a line connecting points C and D. This line is the perpendicular bisector of line segment AB.

**Correct Constructions Include:**
- Using a compass to create equal arcs above and below the line segment.
- Connecting the intersection points of the arcs to form a line that bisects the segment AB at a right angle.

To determine which specific constructions are correct, I would need to see the options you are considering. However, any construction that follows the above steps correctly represents the method for creating a perpendicular bisector of a segment.

If you provide the specific construction options, I can help you identify which ones are correct.