1. triangle ABC : AC = 3 : BC = 2
triangle A'B'C' : A'C' = 9 : B'C' = 6
2. A'C' / AC = 9/3 = 3
B'C" / BC = 6/2 = 3
3. yes, A'B'C' is a dilation of ABC
4. A'B'C' is an enlargement of ABC (because it is bigger then ABC)
5. rectangle ABCD : AB = 6 , BC = 6, CD = 6, DA = 6
rectangle A'B'C'D : A'B' = 3, B'C' = 3, C'D' = 3, D'A' = 3
6. A'B' / AB = 3/6 = 1/2
B'C' / BC = 3/6 = 1/2
C'D' / CD = 3/6 = 1/2
D'A' / DA = 3/6 = 1/2
7. A'B'C'D' is a dilation of ABCD
8. A'B'C'D' is a reduction of ABCD (because it is smaller then ABCD)