describe a process you would use to create the perpendicular bisector to a segment AB using only an unmarked straightedge and an unmarked compass. explain the steps in ONE to THREE sentences
To create the perpendicular bisector of segment AB with just an unmarked straightedge and an unmarked compass, follow these steps:
1. With the compass, draw two arcs of equal radius from any point on the line segment AB. Let these arcs intersect the line on both sides.
2. Without changing the compass width, draw two arcs from the other point of the segment AB. These arcs should intersect the previous arcs.
3. Connect the points where the arcs intersect with a straight line using the straightedge. This line will be the perpendicular bisector of segment AB.