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

Answer:

The reflection image would be (7, 5)

Step-by-step 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).