Statements
Reasons

1. 3AB = 7AD

1. given

2. $&\frac{\sf AB}{\sf AD}=\frac{\sf7}{\sf3}$&

2. division property

3. 3AC = 7AE

3. given

4. $&\frac{\sf AC}{\sf AE} = \frac{\sf7}{\sf3}$&

4. ♣

5. $&\frac{\sf AB}{\sf AD} = \frac{\sf AC}{\sf AE}$&

5. substitution property

6. ∠BAC and ∠DAE are vertical angles

6. def. of vertical angles

7. ∠BAC ≅ ∠DAE

7. vertical angles theorem

8. △ABC ~ △ADE

8. ♦