Question

In $△ABC$ , AB=AC and $AD\perp BC,BE\perp AC$ and $CF\perp AB$. Then , $△ABC$ is symmetrical about ______ .

• A. AD
• B. BE
• C. CF
• D. None of these

Answer 1

The correct option is A AD

$\Rightarrow$ It is given that in $△ABC$, $AB=AC$.

$\therefore$ $△ABC$ is an Isosceles triangle.

$\Rightarrow$ And in isosceles triangle line of symmetry is one.

$\Rightarrow$ $AD\perp BC$, $AD$ divides $△ABC$ equally.

$\therefore$ $△ABC$ is symmetrical about $AD$.