Given: ΔABC with Prove:

Statement Reason
1. given
2. Addition Property of Equality
3. using common denominators
4. AB = AD + DB
CB = CE + EB segment addition
5. Substitution Property of Equality
6. Reflexive Property of Congruence
7. ΔABC ~ ΔDBE SAS similarity criterion
8. ∠BAC ≅ ∠BDE Corresponding angles of similar triangles are congruent.
9. If the corresponding angles formed by two lines cut by a transversal are congruent, then the lines are parallel.
10
What is the missing step in this proof?
A.
∠ABC ≅ ∠DBE
B.
∠BCA ≅ ∠BDE
C.
∠ACB ≅ ∠DEB
D.
∠BDE ≅ ∠ADE
E.
∠CAB ≅ ∠DAC