The reason for each statement will be written in parenthesis.
Statement 1:
[tex]\bar{AB}\cong\bar{CB}\text{ \lparen Given\rparen}[/tex]
Statement 2
[tex]\angle A\cong\angle B\text{ \lparen Given\rparen}[/tex]
Statement 3
[tex]\bar{BD}\cong\bar{BD}\text{ \lparen Reflexive property\rparen}[/tex]
Statement 4
[tex]\bar{DB}\text{ bisects }\angle ABC\text{ \lparen Given\rparen}[/tex]
Statement 5
[tex]\angle ABD\cong\angle CBD\text{ \lparen Definition of angle bisector\rparen}[/tex]
Statement 6
[tex]\wedge ABD\cong\wedge CBD\text{ \lparen SAS postulate\rparen}[/tex]
Statement 7
[tex]\bar{AD}\cong\bar{CD}\text{ \lparen CPCTC - Congruent Parts of Congruent Triangles are Congruent\rparen}[/tex]
