1 Answer

Stuart Ozer · Answer 1 · 2023-09-25T17:58:02+0000

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

$\angle ABD\cong\angle CBD\text{ \lparen Definition of angle bisector\rparen}$

Statement 6

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

Statement 7

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

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