Question 177260
AB = AC (given)
AD bisects BC (given)
BD = DC (bisector of a line splits the line into two congruent parts)
angle ABC = angle ACB (base angles of isosceles triangle are congruent)
triangle ABD congruent to triangle ACD (SAS)
angle ADB = angle ADC (congruent parts of congruent triangles)
point E is in the middle of line AD (given)
ED congruent to ED (reflexive property equal to itself)
triangle BED congruent to triangle CED (SAS)
BE congruent to EC (congruent parts of congruent triangles)
AE congruent to AE (reflexive property equal to itself)
triangle ABE congruent to triangle ACE (SSS)