ANSWER
It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4)
EXPLANATION
The given triangle LMN with vertices L(6, −8), M(4, −4), and N(−12, 2).
If this triangle is dilated by a scale factor of 2 to obtain triangle L′M′N, then we use the rule:
![(x,y)\to (2x,2y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%282x%2C2y%29)
can be used to obtain the coordinates of
L′M′N.
![L(6,-8)\to(2 \times 6,2 \times - 8)=L'(12,-16)](https://tex.z-dn.net/?f=L%286%2C-8%29%5Cto%282%20%5Ctimes%206%2C2%20%5Ctimes%20%20-%208%29%3DL%27%2812%2C-16%29)
![M(4,-4)\to(2 \times 4,2 \times - 4)=M'(8,-8)](https://tex.z-dn.net/?f=M%284%2C-4%29%5Cto%282%20%5Ctimes%204%2C2%20%5Ctimes%20%20-%204%29%3DM%27%288%2C-8%29)
![N(-12,2)\to(2 \times -12,2 \times 2)=N'(-24,4)](https://tex.z-dn.net/?f=N%28-12%2C2%29%5Cto%282%20%5Ctimes%20-12%2C2%20%5Ctimes%20%20%202%29%3DN%27%28-24%2C4%29)
The cot choice is:
It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4)