Answer & step-by-step explanation:
To rotate a point (x, y) 270° counterclockwise about the origin, we can swap the x and y coordinates and negate the new x coordinate. So the new coordinates for L(1, 6) would be:
x' = -6
y' = 1
Therefore, the new vertex for L would be (-6, 1). Similarly, the new vertices for M(8, 7) and N(5, 2) would be:
M': (-7, 8)
N': (2, 5)
So the rotated triangle would have vertices L'(-6, 1), M'(-7, 8), and N'(2, 5).