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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. _____
B. _____
C. _____
D. _____
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. Divide both sides of AB • BE = CB • BD by BE to get CD / BE = AB / BD
C. Given that angles are equal
D. Triangle similarity is based on angle-angle similarity. Since angle ABC = angle DBE (given) and angle B is shared between the two triangles, triangle ABC ~ triangle DBE.