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Statement Reason 1. DG←→⊥AC⎯⎯⎯⎯⎯ given 2. AG = GC given 3. DG←→ is the perpendicular bisector of AC⎯⎯⎯⎯⎯. definition of perpendicular bisector 4. DA = DC 5. DH←→⊥AB⎯⎯⎯⎯⎯ given 6. AH = HB given 7. DH←→ is the perpendicular bisector of AB⎯⎯⎯⎯⎯. definition of perpendicular bisector 8. DA = DB 9. DC = DB Transitive Property of Equality
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