Statements: 1. ABCD is a parallelogram 2. FG bisects DB 3. <GEB ≡ (pretend congruent symbol) <FED 4. DE ≡ BE 5. <CDA ≡ <ABC 6. < CDB ≡ <DBA 7. triangle DFE ≡ triangle BGE 8. FE ≡ GE 9. DB bisects FG
Reasons: 1. Given 2. Given 3. vertical angles are congruent 4. If bisected, then split into congruent parts 5. opposite angles of a parallelogram are congruent 6. Subtraction Property 7. ASA 8. CPCTC 9. segment split into congruent parts by other segment is bisected.