Question

How do I find reflections?

Answer 1

If we have a point of
`\left[\begin{array}{ccc}a\\b\end{array}\right]` and it's reflected by the line x = h,
you'll have the reflection point of
`\left[\begin{array}{ccc}2h-a\\b\end{array}\right]`

From the question above, we conclude that
⇒ the point we have

`\left[\begin{array}{ccc}a\\b\end{array}\right] = \left[\begin{array}{ccc}3\\4\end{array}\right]`
⇒ reflected by
x = 1

The reflection point will be

`\left[\begin{array}{ccc}2h-a\\b\end{array}\right]`

`=\left[\begin{array}{ccc}2(1)-3\\4\end{array}\right]`

`=\left[\begin{array}{ccc}2-3\\4\end{array}\right]`

`=\left[\begin{array}{ccc}-1\\4\end{array}\right]`

The reflection point is (-1,4)