Answer: D. (4, 1)
Step-by-step explanation:
When we have a reflection over a line, the perpendicular distance to that line is invariant.
Then, if we have the point
(-7, 4) and we have a reflection over the line x = -3
The distance between the x component and the line is:
I -7 - (-3)I = 4
Then the reflected point will also be at a distance of 4 units to the line x = 3, and this is at the point x = 1.
Then the new point is (1, 4)
Now we do a reflection over the line x = y.
This type of reflection just changes the x-component by the y-component, and the y-component by the x-component.
Then the new point will be (4, 1)
Then the correct option is D.
