03 IM Similarity

Not Similar

SAS∆~

SSS∆~

AA∆~

-3.7

6.3

-5.9

-0.5

8.6

-3

9.5

4.2

$$\frac{A'C'}{B'A'}=\frac{AC}{BA}$$  

$$\frac{B'C'}{B'A'}=\frac{BA}{BC}$$  

$$\frac{AC}{A'C'}=\frac{B'A'}{BA}$$  

$$\frac{CA}{C'A'}=\frac{CB}{C'B'}$$  

$$\frac{A'B'}{AB}=\frac{C'B'}{CB}$$  

Line BC is parallel to line DE because triangle ABC is a dilation of triangle ADE by a scale factor of 3 from point A.

Line BC is parallel to line DE because triangle ABC is a dilation of triangle ADE by a scale factor of 2 from point A.

Line BC is parallel to line DE because triangle ABC is a dilation of triangle ADE by a scale factor of $$\frac{4}{3}$$   from point A.

Line BC is not parallel to line DE because there is no dilation that sends triangle ADE to triangle ABC.

3

$$\frac{12}{5}$$  

$$\frac{5}{12}$$  

$$\frac{1}{3}$$  

$$\angle ACB=180-x$$  

$$\angle ACB=x$$  

$$\Delta ACB\sim\Delta ADE$$  

$$AD=\frac{1}{3}AC$$  

$$AD=\frac{1}{2}AC$$  

$$\frac{DE}{MN}=\frac{DF}{ML}$$  

$$\angle D=20\degree$$  

$$\angle N=100\degree$$  

$$\angle F=60\degree$$  

$$\angle D=60\degree$$