Statement Reason

1. given
2. AG = GC given
3. is the perpendicular
bisector of . deduced from steps 1 and 2
4. DA = DC
5. given
6. AH = HB given
7. is the perpendicular
bisector of . definition of perpendicular bisector
8. DA = DB deduced from steps 6 and 7
9. DC = DB Transitive Property of Equality

What is the reason for the fourth and eighth steps in the proof?

A.
ASA criterion for congruent triangles

B.
Alternate Interior Angles Theorem

C.
Transitive Property of Equality

D.
Perpendicular Bisector Theorem