Question

geometry a (fa25) co 3 / geometry a / angles and lines 1. what additional information would you need to conclude that (overleftrightarrow{de}) is the perpendicular bisector of (overline{ac})?

Explanation:

Step1: Recall definition of perpendicular bisector

A perpendicular bisector of a line - segment divides the line - segment into two equal parts and is perpendicular to it.

Step2: Identify missing information

We already have a right - angle at the intersection of $\overleftrightarrow{DE}$ and $\overline{AC}$ (the red square indicates a right - angle). We need to know that the line $\overleftrightarrow{DE}$ divides $\overline{AC}$ into two equal parts. So, we need $AB = BC$.

Answer:

$AB = BC$