Karen Morrison and Nick Hamshaw Solutions for Exercise 9: Exercise 23.9

Draw the transformation on the same set of axes. Reflect shape $C$, in the line $y=-3$ and then rotate it $270°$ clockwise about the point $\left(-1, -1\right)$.

Draw the image of triangle $DEF$ under an enlargement with scale factor $-3$ and centre of enlargement is $\left(-2. 0\right)$.

 Enlarge the given shape by a scale factor of  $-1$ . Use the origin as the centre of enlargement.

 Enlarge shape $DEFG$  by a scale factor of  $-2$, with $\left(-1, -1\right)$ as the centre of enlargement.

Enlarge the object shown by a scale factor of $-1.5$ using the point $\left(1,0\right)$ as the centre of enlargement.

Enlarge the shape by a scale factor of $-\frac{1}{2}$ using the origin as the centre of enlargement.

Triangle $ABC$ maps onto $A\text{'}B\text{'}C\text{'}$ after an enlargement of scale factor two from the centre of enlargement $\left(2,5\right).$ $A\text{'}\text{'}B\text{'}\text{'}C\text{'}\text{'}$ by reflection in the line $x=1$. Draw and label image $A\text{'}B\text{'}C\text{'}$ and image $A\text{'}\text{'}B\text{'}\text{'}C\text{'}\text{'}$.

A square $MNOP$ maps onto $M\text{'}N\text{'}O\text{'}P\text{'}$ after an enlargement of scale factor $1.5$ with the centre of enlargement $\left(3,4\right)$. $M\text{'}N\text{'}O\text{'}P\text{'}$ is then rotated $180°$ about the point $\left(0,6\right)$ to give the image $M\text{'}\text{'}N\text{'}\text{'}O\text{'}\text{'}P\text{'}\text{'}$. Show the position of both $M\text{'}N\text{'}O\text{'}P\text{'}$ and $M\text{'}\text{'}N\text{'}\text{'}O\text{'}\text{'}P\text{'}\text{'}.$