the y-coordinate of Z' = 8
Explanation:
When we rotate a point (x, y) about the origin, the coordinates become (-x, -y).
It means the opposite of the coorinates of the previous vertices.
Triangle XYZ vertices:
X(4, -1), Y(8,-2), and Z(1, -8)
A rotation of 180 egrees about the origin becomes:
X' (-4, 1)
Y' (-8, 2)
Z (-1, 8)
Because the coordinates are (x, y) and Z' is (-1, 8), the y-coordinate of Z' is 8.