Describe fully another single transformation (not a translation) that would also map rectangle $R$ onto rectangle $S$.

 

Enlarge $R$ with centre of enlargement $A(10, 2)$ and scale factor two. Write down the ratio area of the enlarged rectangle to the area of rectangle $R$ in its simplest terms.

$OA=a$ and $OB=b$.

$OC=a+2b$. Make a copy of the diagram and label the point $C$ on your diagram.

$OA=a$ and $OB=b$.

$D=(0,-1)$. Write $OD$ in terms of $a$ and $b$

$OA=a$ and $OB=b$.

Calculate $\left|a\right|$ giving your answer to $2$ decimal places.

In each case , describe fully the transformation that maps $A$ onto: $B, C \& D$ and state which shapes have an area equal to that of $A$.

If $\overrightarrow{AB} = \left(\begin{array}{c}-3\\ 5\end{array}\right)$, then $\left|\overrightarrow{AB}\right|=\sqrt{k}$. Find the value of $k$.

Describe fully the single transformation that maps.

shape $A$ onto shape $B$

Describe fully the single transformation that maps.

shape $A$ onto shape $C$