Respuesta :

Answer:

  • P'(5, 3)
  • K'(3, 1)
  • Y'(1, 4)

Step-by-step 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)