Question

Write a two column proof Given: AB || DC; BC || AE Prove: BC/EA = BD/EB

Answer 1

AB || DC Given

∠ABE ≅ ∠CDB Alternate interior angles are congruent

BC || AE Given

∠CBD ≅ ∠BEA Alternate interior angles are congruent

ΔAEB is similar to ΔCBD AA Similarity Postulate

BC / EA = BD / EB Similar sides are proportional