Question

Point a(–4, 2) is reflected over the line x = 3 to create the point a'. what are the coordinates of a'?

Answer 1

Distance between point A and x=3 is 3 -- 4 = 7

So 3 + 7 = 10, the coordinates would be (10,2)

Answer 2

Coordinates of a' ( 10 , 2).

Explanation:

Given : Point a(–4, 2) is reflected over the line x = 3 to create the point a'.

To find : what are the coordinates of a'.

Solution : We have given that point a(–4, 2)

It is reflected over line x = 3

By the reflection rule

1) the y-coordinate is unaffected.

(2) for reflections the distance from the line of reflection to the object is equal to the distance to the image point.

a = 4 + 3 = 7.

so the image point is 3 units from the line of reflection

a' = 7 +3 = 10

Then coordinates of a' ( 10 , 2)

Therefore, Coordinates of a' ( 10 , 2).