Question

Please remember it is asking for a two column proof

Answer 1

The reason for each statement will be written in parenthesis.

Statement 1:

`\bar{AB}\cong\bar{CB}\text{ \lparen Given\rparen}`

Statement 2

`\angle A\cong\angle B\text{ \lparen Given\rparen}`

Statement 3

`\bar{BD}\cong\bar{BD}\text{ \lparen Reflexive property\rparen}`

Statement 4

`\bar{DB}\text{ bisects }\angle ABC\text{ \lparen Given\rparen}`

Statement 5

Statement 6

`\wedge ABD\cong\wedge CBD\text{ \lparen SAS postulate\rparen}`

Statement 7

`\bar{AD}\cong\bar{CD}\text{ \lparen CPCTC - Congruent Parts of Congruent Triangles are Congruent\rparen}`