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'?

(7, 19)
(10, 5)
(7, 5)
(10, 19)

Answer 1

(7, 5)

When you make the first reflection, the point winds up at (-3,5). The second reflection puts it at (7, 5)

Answer 2

(7,5)

Explanation:

The point A (-7, 5) is reflected over the line x = -5, and then is reflected over the line x = 2

The point A (-7, 5) is reflected over the line x = -5

The distance between the point (-7,5) and the line x=-5 is -5-(-7)=2 units

we move the same distance on the other side of the line x=-5

`-5+2=-3`

So the point that is reflected over the line becomes (-3,5)

The distance between the point (-3,5) and the line x=2 is 2-(-3)=5 units

we move the same distance 5 units on the other side of the line x=2

`2+5=7`

So the point that is reflected over the line x=2 becomes (7,5)