Question

2. If AB = AC and AD is the bisector of angle BAC then prove that- a) Is triangle AEC is congruent to triangle ABD. Give reasons. b) Is <C=<D? Give reasons.​

Answer 1

Step-by-step explanation:

R.E.F image

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