Question

What is the reflection image of X? 0 (3,7) O (73) (5,7) (7,5)

Answer 1

(7, 5)

Step-by-step explanation

We want to find the reflection image of X.

The coordinates of X is (-1, 5).

When reflecting over a vertical axis, the x coordinate changes but the y coordinate does not change.

To reflect a point (x, y) (i.e. to find the new x coordinate) across the line x = a, find the distance between a and x, then add that to a.

That is the new x coordinate.

For the question, a = 3.

Therefore, for X(-1, 5):

`\begin{gathered} a-x=3-(-1)=3+1 \\ a=4 \end{gathered}`

Adding that to a, the new coordinates are:

`\begin{gathered} (4+3,5) \\ (7,5) \end{gathered}`

That is the reflection image of X.