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Complete the proof.
Given : AB • BE = CB • BD
Prove :triangle ABC ~ triangle DBE
Statements
1. AB • BE = CB • BD
2. CD / BE = AB / BD
3. Angle ABC = angle DBE
4. Triangle ABC ~ triangle DBE
Reasons
A. Given
B. Property of ____
C. ____
D. ____
1. Given
2. CD / BE = AB / BD (Given, Cross-multiply)
3. Angle ABC = angle DBE (Corresponding angles in similar triangles are equal)
4. Triangle ABC ~ triangle DBE (SAS Similarity Postulate)