Answer: To construct a perpendicular bisector to line segment AB, follow these steps:
1. Draw line segment AB on a piece of paper or a drawing software.
2. Take your compass and place the point of the compass on point A. Adjust the width of the compass to be greater than half the length of AB.
3. While keeping the compass width the same, draw arcs above and below line segment AB.
4. Without changing the compass width, move the compass point to point B and draw arcs that intersect the previous arcs you drew in step 3.
5. Now, take a ruler and draw a straight line that connects the two points where the arcs intersect. This line will be the perpendicular bisector of AB.
6. Label the point where the perpendicular bisector intersects AB as point C.
Congratulations! You have constructed a perpendicular bisector to line segment AB. The point C on the perpendicular bisector is equidistant from points A and B, meaning that it divides AB into two equal halves.
