Given:
The given triangle is
Required:
We have to find the coordinates of Z after dilation.
Step-by-step explanation:
If we dilate the figure by a factor
![\text{ K}=(1)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/6z0kvxo1qvfsknk6f7iha8irhjsa7r51yb.png)
then to find the new orordinates we have to divide each coordinate by
![(1)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/geika1bebdh49vlmy8m866aot9b5u0n47d.png)
From the figure, we can see that the coordinate of Z is
![(-4,-4)](https://img.qammunity.org/2023/formulas/mathematics/college/t7m5q68whmgvm6zsyq33prtoiwtgjecsjo.png)
Hence the new coordinate that we get after dilation is
![((-4)/(2),(-4)/(2))=(-2,-2)](https://img.qammunity.org/2023/formulas/mathematics/college/xr0x8cxvsrtdz2swn98wwhur0iy6ds7c0f.png)
Final answer:
Hence the final answer is
![(-2,-2)](https://img.qammunity.org/2023/formulas/mathematics/college/7zgjhvimy7u2jgclkmpyz2htbgr8qlt6rp.png)