The triangle EFG and triangle UVW are similar.
Yes
What are similar shapes?
Similar shapes are enlargements of each other using a scale factor. All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.
In triangle EFG and triangle UVW
FG : VW = EG : UV = EF : UW
36 : 27 = 12 : 9 = 32 : 24
36/27 = 12/9 = 32/24
4/3 = 4/3 = 4/3
So,
4 : 3 = 4 : 3 = 4 : 3
Therefore, the triangles are similar.