Question

1. choose the best answer. which line is a segment bisector? a y c l

\\(\overline{ay}\cong\overline{yc}\\) o \\(\overleftrightarrow{ac}\\) o \\(\overleftrightarrow{xz}\\) o \\(\overline{ac}\\) o \\(\overleftrightarrow{yc}\\)

Explanation:

Step1: Recall definition of segment bisector

A segment bisector is a line, ray, or segment that divides a line - segment into two equal parts. Given that $\overline{AY}\cong\overline{YC}$, the line that passes through the mid - point $Y$ of $\overline{AC}$ and divides $\overline{AC}$ into two equal parts is the segment bisector.

Step2: Identify the line

The line $\overleftrightarrow{XZ}$ passes through the mid - point $Y$ of $\overline{AC}$ and divides $\overline{AC}$ into two equal segments $\overline{AY}$ and $\overline{YC}$.

Answer:

$\overleftrightarrow{XZ}$