Question

XYZ is reflected across the line x = 3. What is the reflection image of Z?

Answer 1

Z will be at (3,4) because it’s on the reflection line so it stays the same

Answer 2

The coordinates of reflection image of Z are (3,4).

Explanation:

If a figure reflected across the line x = a, then

`(x,y)\rightarrow (-x+2a,y)`

XYZ is reflected across the line x = 3, so the reflection rule can be defined as

`(x,y)\rightarrow (-x+6,y)`

From the given figure it is clear that the coordinates of Z are (3,4). The coordinates of reflection image of Z are

`Z(3,4)\rightarrow Z'(-3+6,4)`

`Z(3,4)\rightarrow Z'(3,4)`

Therefore the coordinates of reflection image of Z are (3,4).