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Geometry Class work , i need help please
Question Description
What is the missing step in this proof?
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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