In \(ΔABC\), \(AD\) is the perpendicular bisector of \(BC\) (see fig.). Show that \(ΔABC\) is an isosceles triangle in which \(AB = AC\).
 
YCIND_241124_6816_17.png
 
Proof: 
 
\(∆ABD≅∆ACD\) [By Congruence rule]
 
\(AB = AC\)  [By ]
 
Hence \(ΔABC\) is an isosceles triangle