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Given: AD DC Prove: AB || DE BE A B 2E Complete the steps of the proof. Statements 2. A +1 = BE +1 AD 3. A+ DC = BE + EC DC AD + DC BE+EC 4. = DC 5. AC AD+DC; BC = BE + EC BC 6. AC=C DC 7. 2323 8. AABC ADEC 9. 21 22 10. AB || DE EC Reasons 2. addition property 3. property of proportion 4. addition of fractions 5. segment addition postulate 6. substitution property 7. reflexive property 8.4 9.- 10. corresponding angles theorem
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