Question

The point A (3, 4) is reflected over the line x = 2, and then is reflected over the line x = -4. What are the coordinates of A'? (1, 2) (9, 4) (-9, 4) (1, 4)

Answer 1

Answer: is c (-9,4) the guy had it right but wrong letter

Explanation:

Answer 2

The coordinates of A' are (-9,4)

Explanation:

we know that

Each point of the original figure and its image are the same distance away from the line of reflection

so

step 1

reflected the point A(3,4) over the line x=2

The distance of the point to the line of reflection is 3-2=1 units

therefore

The coordinate of the reflected point is (2-1,4) ----> (1,4)

step 2

reflected the point (1,4) over the line x=-4

The distance of the point to the line of reflection is 1-(-4)=5 units

therefore

The coordinate of the reflected point is (-4-5,4) ----> (-9,4)