+8 Hello! Thanks in advance!
Provide statements and reasons in the proof of the triangle angle bisector theorem.
Given: line BD bisects angle ABC. Auxiliary line EA is drawn such that line AE || line BD. Auxiliary line BE is an extension of line BC.
Prove: AD/DC=AB/BC
Statement Reason
1. line BD bisects angle ABC.
1. Given
2. angle DBC is congruent to angle ABD
2.
3. line AE is parallel to BD
3.
4. angle AEB is congruent to angle DBC
4.
5. angle AEB is congruent to angle ABD
5.
6. angle ABD is congruent to angle BAE
6.
7. angle AEB is congruent to angle BAE
7.
8. line EB is congruent to line AB
8.
9. EB = AB
9.
10. AD/DC = EB/BC
10.
11. AD/DC=AB/BC
11.
