Which transformation will be equivalent to rotating a figure 180° counterclockwise?A) reflecting over the line y = x. B) reflecting over the line y = -x. C) reflecting over the x-axis and the y-axis. D) translating left 3 units and down 5 units.

If we have given coordinates of the image are in form (h,k).The resulting coordinates of image rotation of 180° around the origin would be (-h,-k).We have rule (h,k) ---> (-h,-k).We can see that x-coordinate is being multiplied by -1 and then y-coordinate is also being multiplied by -1.Above rule could be break into two parts.(h,k) ---> (-h,k) ---->  (-h,-k).We can see in first step, (h,k) ---> (-h,k) is being reflecting over the x-axis and in second step (-h,k) ---->  (-h,-k) is being reflecting over the y-axis.Therefore, correct option is C) reflecting over the x-axis and the y-axis.