The point A(4, 2) is reflected in x-axis to point A'. Point A' is further reflected in the line y + 2 = 0 to point A". The co-ordinates of the point A" are :

1. (-4, -2)

2. (-4, 2)

3. (4, 2)

4. (4, -2)

We know that,

When a point is reflected in x-axis, the sign of y-coordinate changes.

A(4, 2) ⇒ A'(4, -2).

Given,

A' is reflected in the line y + 2 = 0 or y = -2.

Since,

y-coordinate of A' is -2 and equation of line is y = -2.

So, A' lies on the line and so it is invariant on reflection in the same line.

A" = (4, -2).

Hence, Option 4 is the correct option.