Answer:
The coordinates of vertices of A'B'C'D' are:
A'(1,-8), B'(0,-4), C'(2,-1) and D'(4,-3)
Step-by-step explanation:
When a point (h,k) is roated 180 degrees about the origin it becomes (-h,-k) which means that the new point after rotation is the negative of the previous.
Given vertices are:
A(-1,8), B(0,4), C(-2,1), and D(-4,3)
The new vertices will be:
![A(-1,8) => A'(1,-8)\\B(0,4)=> B'(0,-4)\\C(-2,1)=> C'(2,-1)\\D(-4,3)=> D'(4,-3)](https://tex.z-dn.net/?f=A%28-1%2C8%29%20%3D%3E%20A%27%281%2C-8%29%5C%5CB%280%2C4%29%3D%3E%20B%27%280%2C-4%29%5C%5CC%28-2%2C1%29%3D%3E%20C%27%282%2C-1%29%5C%5CD%28-4%2C3%29%3D%3E%20D%27%284%2C-3%29)
The coordinates of vertices of A'B'C'D' are:
A'(1,-8), B'(0,-4), C'(2,-1) and D'(4,-3)