1. **Problem statement:** Describe the transformation from triangle A to triangle B using a negative scale factor. 2. **Understanding enlargement/dilation:** An enlargement with scale factor $k$ about a centre $O$ transforms any point $P$ to $P'$ such that $$\overrightarrow{OP'} = k \times \overrightarrow{OP}.$$ 3. **Negative scale factor meaning:** When $k$ is negative, the image is not only scaled by $|k|$ but also reflected through the centre $O$. This means the image is on the opposite side of $O$ compared to the original. 4. **Identify centre and scale factor:** Given triangle A near $(-2,2)$ and triangle B near $(-4,10)$, the centre $O$ is the point about which the dilation occurs. The scale factor $k$ can be found by comparing distances from $O$ to corresponding points in A and B. 5. **Example calculation:** Suppose the centre is at the origin $O=(0,0)$ for simplicity. Calculate vector for a point in A: $\overrightarrow{OA} = (-2,2)$. Calculate vector for corresponding point in B: $\overrightarrow{OB} = (-4,10)$. 6. **Find scale factor $k$: $$k = \frac{\overrightarrow{OB}}{\overrightarrow{OA}} = \left(\frac{-4}{-2}, \frac{10}{2}\right) = (2,5).$$ Since scale factor must be uniform, check ratio of components. They differ, so centre is not origin. 7. **Find correct centre $O=(x_0,y_0)$:** Use formula for dilation: $$\overrightarrow{OB} = k \times \overrightarrow{OA} = k(\overrightarrow{OA} - \overrightarrow{OO}) + \overrightarrow{OO}.$$ Set up equations for $k$ and $O$ using coordinates of points A and B. 8. **Summary:** A negative scale factor means the image is enlarged and reflected through the centre. The transformation from A to B involves a dilation with negative scale factor about a centre, causing B to be a reflected and scaled version of A. **Final answer:** The transformation from A to B is an enlargement (dilation) with a negative scale factor about a centre point, which causes the image to be scaled by the absolute value of the scale factor and reflected through the centre.