Select the correct answer from each drop-down menu. Given: Δabc with de ∥ ac, prove: a*d /d*b = c*e /e*b. A triangle abc is shown with base bc. A point d on side ab connects with a point e on point bc. Line de is parallel to line ac. Which of the following statements and reasons are correct?
1) de ∥ ac (given)
2) ∠cab ≅ ∠edb, ∠acb ≅ ∠deb (if parallel lines are cut by a transversal, the corresponding angles are congruent)
3) Δabc ≅ Δdbe
4) a*b/d*b = c*b e*b (corresponding sides of similar triangles are proportional)
5) ab = ad /db, cb = ce /eb
6) a*d/ d*b d*b = c*e /e*b /e*b (substitution property of equality)
7) a*d/ d*b 1 = c*e/ e*b 1 (division)
8) a*d /d*b = c*e/ e*b (subtraction property of equality)
