Answer:
C'D'=3 units
Step-by-step explanation:
we know that
The translation of a segment does not modify its length
so
The length of the segment CD and the length of the segment C'D' are equal
therefore
C'D'=3 units
Verify
Let
The coordinate of point C equal to x1 and the coordinate of point D equal to x2
so
The length of segment CD is equal to
CD=x2-x1=3
The rule of the translation is
x ------> x+2
The new coordinates will be
C'=x1+2
D'=x2+2
The length of segment C'D' is equal to
(x2+2)-(x1+2)=(x2-x1)=3 units
