If a rotation takes triangle CAT to C'A'T', what is C'T'?

Answer:
[tex]C'T'=4\ units[/tex]
Step-by-step explanation:
we know that
A rotation does not modify the original length sides of the figure or its internal angles, a rotation only modify the orientation of the figure.
so
The distance CT before the rotation is the same of the distance C'T' after the rotation
CT=C'T'
we have
[tex]CT=4\ units[/tex]
therefore
[tex]C'T'=4\ units[/tex]