Respuesta :

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

[tex]\begin{gathered} (0,5)\longrightarrow(0,-1) \\ (4,3)\longrightarrow(4,1) \\ (2,-1))\longrightarrow(2,5) \end{gathered}[/tex]

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:

Ver imagen TrustinO720595
Ver imagen TrustinO720595
Ver imagen TrustinO720595