Statement number (2) From (1) ⇒ BD bisects ∠ABC ⇒ Definition of angle bisects ========================================== Statement number (3) Given information =========================================== Statement number (4) Corresponding angles are congruent ============================================= Statement number (5) From (2) and (4) ⇒ Transitive property of quality ============================================= Statement number (6) Alternative angles are congruent =============================================
Statement number (7) From (5) and (6) ⇒ Transitive property of quality ============================================= Statement number (8) From (7) ⇒ Δ ABE is an isosceles triangle ============================================== Statement number (9) From (8) ⇒ Definition of the isosceles triangle. ===============================================
Statement number (10)
From (3) ⇒ Triangle proportionality theorem ================================================ Statement number (11) From (9) and (10) ⇒ Substitution property of equality.