Question

logical reasoning tell whether the information in the diagram allows you to conclude that c is on the perpendicular bisector of ab. explain your reasoning. 8.

Explanation:

Step1: Recall the property of perpendicular bisector

A point is on the perpendicular bisector of a segment if and only if it is equidistant from the endpoints of the segment.

Step2: Check the distances from \(C\) to \(A\) and \(B\)

Given \(CA = 8\) and \(CB=7\). Since \(CA
eq CB\), \(C\) is not equidistant from \(A\) and \(B\).

Answer:

No. Because a point on the perpendicular bisector of a segment must be equidistant from the endpoints of the segment, and here \(CA = 8
eq7=CB\).