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

Question
Answer:
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.
solved
general 10 months ago 1607