Question

The point A (-7, 5) is reflected over the line x = -5, and then is reflected over the line x = 2. What are the coordinates of A'?

Answer 1

The reflection image would be (7, 5)

Explanation:

When a point is reflected across a line x = p

The rule of reflection,

`(x,y)\rightarrow (2p-x, y)`

Thus, when (-7, 5) is reflected across x = -5,

`(-7, 5) \rightarrow (2(-5)+7,5)`

The image after reflection is (-3,5),

Again when (-3,5) is reflected across x=2,

`(-3,5)\rightarrow (2(2)+3,5)`

Hence, the resultant image after both reflections would be (7,5).