Question

consider the diagram. what is the length of segment ab? 7 9 18 25

Explanation:

Step1: Use the perpendicular bisector theorem

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. Here, \(DB\) is the perpendicular bisector of \(AC\), so \(AD = CD\) and \(AB=BC\).

Step2: Find the length of \(AB\)

Given \(BC = 9\), since \(AB = BC\) (by the perpendicular bisector theorem), so \(AB=9\).

Answer:

9