Question

Which transformation will be equivalent to rotating a figure 270° counterclockwise (or 90° basically)

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

and explain why, please i need the explanation!!

Answer 1

Answer: is C

Explanation:

Answer 2

It is C. Rotating a figure counterclockwise 270° causes the coordinates to change from (x, y) to (y, -x). When you reflect a figure over the y-axis the coordinates change from (x, y) to (-x, y). If you then reflect it over the line y = x the coordinates would change from (-x, y) to (y, -x). Therefore reflecting over the y-axis and then reflecting over the line y = x will be equivalent to an 270° counterclockwise rotation.