Question

In $\Delta ABC$, $AB=AC$, and $OB=OC$, choose the correct option.

• A. $OA=AB$
• B. $OA\perp BC$
• C. $OB=OA$
• D. None of the above

Answer 1

The correct option is B $OA\perp BC$

In $\Delta ABC$, $OB=OC$ and $AB=AC$.
So, line drawn from $A$ to $BC$ bisects the line segment $BC$ in two parts and it makes an angle equal to ${90}^{\circ }$ with $BC.$ Such a line is called perpendicular bisector.

So, option $B$ is correct.