Answer: D. (-2, -1)
Step-by-step explanation:
Here we do two reflections to the point (-1, 2).
First, we do a reflection over the line x = y. Remember that a reflection over a line keeps constant the distance between our point and the given line, so we have that for a pint (x, y), the reflection over the line y = x is:
Ry=x (x, y) = (y, x)
so for our point, we have:
Ry=x (-1, 2) = (2, -1)
Now we do a reflection over the y-axis, again, a reflection over a line keeps constant the distance between our point and the given line, so if we have a point (x,y) and we do a reflection over the y-axis, our new point will be:
Ry-axis (x,y) = (-x, y)
Then in our case:
Ry-axis (2, -1) = (-2, -1)
The correct option is D.
