Question

Select the sequence of transformations that are the inverse of rotating a figure 90° counterclockwise and then reflected over the X axis

Answer 1

Reflecting it over the x-axis, then over the y-axis and finally over the line y = x.

Explanation:

We start with point (x,y)

Rotation 90° counterclockwise about the origin transforms point (x,y) into (-y,x)

Reflection over x-axis transforms point (-y,x) into (-y,-x).

To find the inverse of this sequence of transformations, we start with (-y,-x) and want to get (x,y)

Reflection over x-axis: (-y,-x) -> (-y, x)

Reflection over y-axis: (-y,x) -> (y, x)

Reflection over y = x (y,x) -> (x,y)