Question

$OC$ is the perpendicular bisector of $AB$. Find the value of $x$.

• A. $-1$
• B. $-2$
• C. $-3$
• D. $-4$

Answer 1

The correct option is B $-2$

Given: $\overleftrightarrow{OC}$ is the perpendicular bisector of $\overline{AB}$
Therefore, we use the perpendicular bisector theorem to conclude that $CA=CB$
So, $4x=x-6$
$4x-x=-6$
$3x=-6$
$x=-2$