Answer:
Step-by-step explanation:
Given is a triangle ABC and AD is the angle bisector of angle A
For construction we use with centre at A draw a circle with radius AB
By radii postulate AB = AC
Similarly BD = CD since same radius taken
AD = AD reflexive property
Hence the triangles ABD and ACD are congruent
BY CPCTC properties we have corresponding angles equal
i.e. angleBAD = angle CAD
i.e. AD is bisector of angle A
Thus reasons used are
A, C and D
