Question

1. if be is a perpendicular bisector of ad, which statement is true? ce ≅ bc bd ≅ ed ae ≅ ab ac ≅ cd

Explanation:

Step1: Recall property of perpendicular bisector

A perpendicular bisector of a line - segment divides the line - segment into two equal parts.

Step2: Identify the line - segment being bisected

The line - segment $\overline{AD}$ is being bisected by $\overleftrightarrow{BE}$ at point $C$.

Step3: Determine the equal line - segments

Since $\overleftrightarrow{BE}$ is the perpendicular bisector of $\overline{AD}$, by the definition of a perpendicular bisector, we have $\overline{AC}\cong\overline{CD}$.

Answer:

$\overline{AC}\cong\overline{CD}$