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Statement. |. Reason

1. AB = AC. 1. Given

2. Angle B = 2. When 2 sides of a triangle are congruent, the angles opposite them are congruent

Angle C

3. AE bisects 3. Given

angle A, BF bi-

sects angle B

4. Angle EBF 4. Definition of an angle bisector

Equals angle

EBC, Angle ECF

Equals angle FCB

5. Angle EBC = 5. Halves of equals are equals

Angle FCB

6. BC = BC. 6. Identity property

7. Triangle EBC= 7. ASA = ASA

Triangle FCB

8. BF = EC 8. Corresponding parts of congruent triangles are congruent

9. AF =AE. 9. Subtraction Postulate

10. Angle AFE =. 10. Same as reason 2

Angle AEF

11. Angle A =. 11. Identity property

Angle A

12. Angle B +. 12. Subtraction Postulate.....Alltriangles interior angles add up to 180

Angle C = Angle

AEF + Angle AFE

13. Angle B = 13. Transitive property

Angle AFE

14. FE || BC. 14. If 2 parallel lines are cut by a transversal, then the corresponding angles are congruent

15. Angle FEB = 15. If 2 parallel lines are cut by a transversal, then the alternate interior angles are equal

Angle CBE

16. Angle FEB=. 16. Transitive Property

Angle EBF

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