Question

what are all the ways to properly name this line?
a b c
m
ab, bc, ac
ab, bc, ac
line m, ab, bc, ac
abc or cba

Explanation:

Step1: Recall line - naming rules

A line can be named by a single lowercase letter (in this case line $m$), or by any two points on the line with a two - way arrow above them. $\overline{AB}$, $\overline{BC}$, $\overline{AC}$ are line - segments, not lines. $\overleftrightarrow{AB}$, $\overleftrightarrow{BC}$, $\overleftrightarrow{AC}$ are correct ways to name the line using two points, and the line can also be named as line $m$.

Answer:

The correct ways to name the line are $\overleftrightarrow{AB}$, $\overleftrightarrow{BC}$, $\overleftrightarrow{AC}$, and line $m$. But among the given options, the closest correct one is the option with $\overleftrightarrow{AB}$, $\overleftrightarrow{BC}$, $\overleftrightarrow{AC}$ (the second option with the two - way arrows above $AB$, $BC$, $AC$).