Question

which picture shows the correct construction of the perpendicular bisector of segment ab? (type your letter choice)

Explanation:

Step1: Recall perpendicular - bisector construction

To construct the perpendicular bisector of a segment \(AB\), we first set the compass width to more than half the length of \(AB\). Then, with \(A\) as the center, we draw arcs above and below the segment. Next, with \(B\) as the center and the same compass - width, we draw arcs above and below the segment. The intersection points of these arcs are then connected to form the perpendicular bisector.

Step2: Analyze the options

In option D, we see that arcs are drawn from both \(A\) and \(B\) (above and below the segment \(AB\)) and then the intersection points of these arcs are connected, which is the correct construction of the perpendicular bisector of segment \(AB\).

Answer:

D