Question

$BD$ is the perpendicular bisector of $AC$. Find the value of $x$.

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

The correct option is A $1$

Given: $\overleftrightarrow{BD}$ is the perpendicular bisector of $\overline{AC}$
Therefore, we use the perpendicular bisector theorem to conclude that $BA=BC$
So, $4x-1=1+2x$
$4x-2x=1+1$
$2x=2$
$x=1$