In ΔAOD and ΔBOC,∠A=∠B=90∘ (given) AD=BC (given) ∠AOD=∠BOC(vertically opposite angles)
∴△AOD≅△BOC
So, OC=OD (CPCT) Given, CD=8cm.OC+OD=8cmOC+OC=8cm (As,OD=OC)2(OC)=8cmOC=4cm.
In the given figure, AD and BC are equal perpendiculars to a line segment AB.
Show that CD bisects AB.
Question 3 AD and BC are equal perpendiculars to a line segment AB. Show that CD bisects AB.