Answer:
The distance between A and A' is:
[tex]distance=\sqrt{20}[/tex]
Step-by-step explanation:
Notice that point A' after the given translation becomes: (-2+4, 3+2) = (2, 5),
So one can calculate the distance between A (-2, 3) and A' (2, 5) using the distance formula:
[tex]distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\distance=\sqrt{(2-(-2))^2+(5-3)^2} \\distance=\sqrt{(4))^2+(2)^2} \\distance=\sqrt{(16+4} \\distance=\sqrt{20}[/tex]
