Note: Your teacher will grade your response to this question to ensure you receive proper credit for your answer.
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. ____
C. ____
D. ____
Reasons:
A. Given
B. Divide both sides of statement 1 by CB:
AB • BE / CB = BD
CD / BE = AB / BD
C. Angle-Side-Angle (ASA) similarity criteria:
Angle ABC = angle DBE
D. By B and C, triangle ABC ~ triangle DBE