Which transformation will be equivalent to rotating a figure 270° counterclockwise? A) reflecting over the x-axis and the y-axis B) translating left 3 units and down 5 units C) Reflecting over the y-axis and then reflecting over the line y = x D) Reflecting over the y-axis and then reflecting over the line y = -x
Accepted Solution
A:
Reflection over the y-axis: (x, y) ⇒ (-x, y)
Reflection of that over the line y = x: (-x, y) ⇒ (y, -x)
Rotation counterclockwise by 270°: (x, y) ⇒ (y, -x) . . . . . . equivalent to reflection over y, then over y=x.
The appropriate choice is ... C) Reflecting over the y-axis and then reflecting over the line y = x.