The vertices of the parallelogram are
and
.
(a)
\The vertices of the parallelogram are translated by the vector
.
The new vertices are \ \
\

.


.


.


.
Therefore the new vertices of the parallelgram are
and
.
(b)
\The vertices of the parallelogram are translated by the vector
.
Let
.



.
The vertices of the parallelogram are translated by the vector 
.
The new vertices are
\

.


.


.


.
Therefore the new vertices of the parallelgram are
and
.
(a) The new vertices of the parallelgram are
and
.
(b) The new vertices of the parallelgram are
and
.