ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line y = -x. What are the coordinates of the vertices of the image?

Answer 1

rotation: (x,y) → (-x,-y)
reflection: (x,y) → (-y,-x)
so the combination takes (x,y)→(-x,-y)→(y,x)