Answer:
The scale factor of a dilation is 3.
Explanation:
Given the length ST of the rectangle RSTU
The length ST of the rectangle = 8 units
It is clear that the corresponding length S'T' = 23 is 3 times the length of the original length ST = 8
i.e.
S'T' = 3(ST)
S'T' = 3(8) ∵ ST = 8
S'T' = 24
It indicates that the RSTU has been dilated by a scale factor of 3.
As the scale factor 3 > 1, it also indicates that the dilated rectangle R'S'T'U is enlarged.
Therefore, the scale factor of a dilation is 3.