Answer:
The scale factor for the dilation is 3.
Step-by-step explanation:
We are given that,
Rectangle ABCD is dilated to form the rectangle A'B'C'D'.
<em>To find the scale factor, we will find the ratio of the lengths of the rectangle.</em>
We see that,
A= (1,5) and B= (4,5). So, the length of side AB = 4-1 = 3
A'= (3,15) and B'= (12,15). So, the length of side A'B' = 12-3 = 9
So, the ratio of the sides AB : A'B' = 3 : 9 = 1 : 3.
Hence, we get that,
<em>Length of side A'B' is 3 times the length of side AB.</em>
This relation can be verified for other sides also.
Thus, the scale factor for the dilation is 3.
