SOLUTION: write a proof. Given: Ab times BE= CB times BD Prove: triangle ABC~ triangle DBE

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Question 1084322: write a proof.
Given: Ab times BE= CB times BD
Prove: triangle ABC~ triangle DBE
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

STATEMENTS ------------------- REASONS
1. AB * BE = CB * BD ------------------- 1. GIVEN
2. CB/BE = AB/BD ------------------- 2. Property of cross multiplication
3. ∠ABC ≅ ∠DBE ------------------- 3. Vertical angles
4. ΔABC ~ ΔDBE ------------------- 4. SAS property of similarity