Investigate what happens to the point $(a, b)$ when it is rotated by $180°$ about the origin.

                          

Use vector to describe the translation from $A$ to $B$.

Use vector to describe the translation from $A$ to $C$.

Use vector to describe the translation from $A$ to $D$.

Use vector to describe the translation from $B$ to $C$.

Draw the image of triangle A after each transformation. Translation with vector $\left(\begin{array}{c}4\\ 2\end{array}\right)$. Label the image P.

Draw the image of triangle A after each transformation. Translation with vector $\left(\begin{array}{c}-3\\ 2\end{array}\right)$. Label the image Q.

Draw the image of triangle A after each transformation. Translation with vector $\left(\begin{array}{c}4\\ -3\end{array}\right)$. Label the image $R$.

Choose the correct vector along which the coordinates $(3,4)$ moves to $(5,1)$ through translation.