Answer:
5 units.
Step-by-step explanation:
The polygon A'B'C'D' is created after translating the polygon ABCD.
Now, we know that the distance that each point moves after translation will be the same.
Now, we have to determine the distance between points A(1,5) and A'(-2,1).
Therefore the distance AA' will be given by
[tex]\sqrt{(1 - (- 2))^{2} + (5 - 1)^{2}} = 5[/tex] units.
Hence, the distance between the points B and B' will be 5 units. (Answer)