\"\"

\

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 \"\".