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14-07-2020
Mathematics

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

Write a two column proof Given AB DC BC AE Prove BCEA BDEB class=

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14-07-2020

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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