Question

In the given figure AD is the bisector of ∠BAC, and AB = AC
By which criteria ∆ADB ≅ ∆ADC

Answer 1

Answer:

Given : AD is the perpendicular

bisector of BC,AB=AC

To show △ADB≅△ADC

proof :- In △ADB and△ADC

AD=AD (common)

∠ADB=∠ADC

BD=CD (AD is perpendicular bisector)

∴△ADB≅△ ADC by SAS congruence .