C is the incenter of isosceles triangle ABD with vertex angle ZABD Does the following proof correctly justify that triangles ABC and DBC are congruent?
1. It is given that C is the incenter of triangle ABD, so segment BC is an altitude of angle ABD
2. Angles ABC and DBC are congruent according to the definition of an angle besector
3. Segments AB and DB are congruent by the definition of an ihsosceles triangle
4. Triangles ABC and DBC share side BC, so it is congruent to self by the reflexive property
By the SAS postulate, triangles ABC and DBC are congruent
5.
O There is an error in line 1, segment BC should be an angle bisector
O
The proof is correct
O There is an error in line 3, segments AB and BC are congruent
O There is an error in line 5, the ASA Postulate should be used
