Question

PLEASE HELP WILL GIVE MEDAL!!!!
ABC with vertices A(-3,0), B(-2,3),C(-1,1) is rotated 180 degress clockwise about the orgin. It is then reflected across the line y=-x. What are the coordinates of the vertices of the image?

Answer 1

A rotation by 180° about the origin can be seen in the picture below in which A is rotated to its image A'. The general rule for a rotation by 180° about the origin is
(A,B) -> (-A, -B)