Answer:
Explanation:
You want the coordinates of the vertices of triangle PKY after it has been rotated 180° CW about the origin.
Rotation 180°
Rotation about the origin by 180° is equivalent to reflection across the origin. Rotation clockwise or counterclockwise has the same result. The transformation of coordinates is ...
(x, y) ⇒ (-x, -y) . . . . . . only the sign changes
Application
Applying this transformation to the given points, you have ...
P(-5, -3) ⇒ P'(5, 3)
K(-3, -1) ⇒ K'(3, 1)
Y(-1, -4) ⇒ Y'(1, 4)