geometry class work i need help please 13
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Given: Triangle ABC with AD/DB = CE/EB
Prove: LINE DE || LINE AC
What is the missing step in the proof number 8?
1. AD/DB = CE/EB ———-> given
2.AD/DB+1 = CE/EB+1 ——–> Addition Property of Equality
3.AD+DB/DB =CE+EB/EB —————> using common denominators
4. AB = AD + DB
CB = CE + EB ———-> segment addition
5.AB/DB =CB/EB ——> Substitution Property of Equality
6.angle ABC congruent to angle
DBE ————> Reflexive Property of Congruence
7.triangle ABC ~ triangle DBE ———-> SAS similarity criterion
8. MISSING PROOF? ——— > Corresponding angles of similar triangles are congruent.
9.LINE DE
|| LINE AC —————————-> If the corresponding angles formed by two lines cut by a transversal are congruent, then the lines are parallel.

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