Question

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.

Explanation:

Step1: Recall rotation rules

A 180 - degree counter - clockwise rotation of a point $(x,y)$ about the origin gives the point $(-x,-y)$.

Step2: Recall reflection rules

Reflecting a point $(x,y)$ over the x - axis gives $(x, - y)$. Then reflecting $(x,-y)$ over the y - axis gives $(-x,-y)$.

Answer:

C. reflecting over the x - axis and the y - axis.