To find the translations that move hexagon 1 to hexagon 2, use one of the
\corresponding vertices of the hexagon 1 to hexagon 2.
\Take the corresponding vertices
.
The translation formuls is
.
Use the coordinates
.

Therefore,
.

(Substitute
)
(Substitute
)
(Add 3 to each side)
(Simplify)
So, the translation hexagon 1 to hexagon 2 is 
To find the translations that move hexagon 3 to hexagon 4, use one of the
\corresponding vertices of the hexagon 3 to hexagon 4.
\ake the corresponding vertices
.
The translation formuls is
.
Use the coordinates
.

Therefore,
.

(Substitute
)
(Substitute
)
(Subtract 1 from each side)
(Subtract 3 from each side)
So, the translation to move hexagon 3 to hexagon 4 is 
The translation hexagon 1 to hexagon 2 is
.
The translation to move hexagon 3 to hexagon 4 is
.