# Finish the proof that segment BC `cong` segment DE by filling in the missing statement and reasons. Statements Reasons...

Finish the proof that segment BC `cong` segment DE by filling in the missing statement and reasons.

Statements Reasons

1._______ 1.Given

2.<BAC`cong` <DAE 2.________

3.segment AC `cong` segment AE 3.Given

4.______ 4.__________

5. segment BC `cong` segment DE 5.__________

*print*Print*list*Cite

### 1 Answer

1. `AB cong AD` 1. given (as indicated by the marks on the picture)

2. `<BAC cong <DAE` 2. Angles with colinear sides are congruent

3. `AC cong AE` 3. Given

4. `Delta AED cong Delta ABC` 4. Triangles are congruent when two sides and the angles in between them are congruent.

5.`BC cong DE` 5. In congruent trianlges, all sides are congruent.