If two angles of a triangle are congruent,
then the sides opposite those angles are congruent.
1. Triangle ABC. 1. Given.
2. / A = / C. 2. Given.
3. Draw bisector of / ABC
to intersect 3. Every
angle has an angle
AC at point D. bisector.
4. / ABD = / CBD. 4. Definition of angle bisector.
5. BD = BD. 5. Reflexive Property.
6. Triangle ABD = triangle CBD. 6. AAS
7. AB = BC. 7. Corresponding Parts of Congruent
Triangles are Congruent.