Question

In the adjoining figure, which of the following are the interior angle bisectors? Check all that apply.

• A. $AE$
• B. $BF$
• C. $PM$
• D. $PN$

Answer 1

Answer: (A), (B)

$BF$

The given figure is,


$\underset{–}{\text{Angle bisector:}}$
In any triangle, a line from a vertex to its opposite side, bisecting the interior angle at that vertex is called the angle bisector.

We can see from the figure that
$AE$, $BF$ and $CG$ are the angle bisectors of angles $\angle BAC$, $\angle ABC$ and $\angle ACB$ respectively.

Hence, options (a.) and (b.) are correct.