Question

Which composition of transformations would be the inverse of rotating a figure 90° counterclockwise and then reflecting it over the x-axis?

Answer 1

it is a 90 degree angle       

Answer 2

Therefore reflecting it over the x-axis, then over the y-axis and finally over the line y = x is the correct answer.

Explanation:

Rotating a figure counterclockwise 90° and then reflecting it over the x-axis causes the coordinates to change from (x, y) to (-y, -x). To find the inverse you need to find a set of transformations that will take the coordinates (-y, -x) and change them to (x, y). When you reflect a figure over the x-axis the coordinates change from (-y, -x) to (-y, x). If you then reflect it over the y-axis the coordinates would change from (-y, x) to (y, x) and finally reflecting that point over the line y =x would cause the coordinates to change from (y, x) to (x, y).