Question

Graph triangle ABC with vertices A(0,5) B(4,3) and C(2,-1) and it’s image after a reflection in the line y=2

Answer 1

By reflecting the given points about y=2, the x-coordinates remain the same, then we have

`\begin{gathered} (0,5)\longrightarrow(0,-1) \\ (4,3)\longrightarrow(4,1) \\ (2,-1))\longrightarrow(2,5) \end{gathered}`

then, the new triangle is:

where the red line represents the line y=2. We found the new points by searching the points which are at the same distance of the original poinst to the line:

Then, the preimage and the image after the reflection are: