use the compass and ruler to construct the perpendicular bisector of the line segment $\\overline{ab}$.
use the compass and ruler to construct the perpendicular bisector of the line segment $\\overline{ab}$.
Answer
Explanation:
Step1: Set compass width
Adjust the compass to a width greater than half the length of segment $\overline{AB}$.
Step2: Draw arcs from point A
Place the compass point on $A$ and draw arcs above and below the segment.
Step3: Draw arcs from point B
Keep the same width, place the compass on $B$, and draw intersecting arcs.
Step4: Connect intersection points
Use a ruler to draw a line through the two points where the arcs intersect.
Answer:
The perpendicular bisector is the line passing through the two intersection points of the arcs centered at $A$ and $B$ with equal radii $r > \frac{1}{2}AB$.