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GenaCL600 [577]
3 years ago
9

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

Mathematics
1 answer:
ohaa [14]3 years ago
3 0

Answer:

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

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