You haven't provided the original coordinates or the figure, therefore, I cannot give an exact answer. However, I will help you with the concept.
For rotation 180° about the origin, the signs of both the x any y coordinates are changed. <u>This can be modeled as follows:</u> (x,y) ......> rotation 180° about the origin ........> (-x,-y)
<u>Examples:</u> (1,2) .......> rotation 180° about the origin ........> (-1,-2) (2,-19) ....> rotation 180° about the origin ........> (-2,19) (-3,-8) .....> rotation 180° about the origin ........> (3,8) (-5,7) ......> rotation 180° about the origin ........> (5,-7)
Based on the above, all you have to do to get the coordinates of C' is change the signs of both the x and y coordinates