Question

Graph the reflection of the polygon in the given line #3

Answer 1

A reflection is a transformation that represents a turn of a figure. Figures can be reflected in a point, a line, or a plane. When a figure is reflected on a line or at a point, the image is congruent to the preimage.

When we make a reflection on the x axis, all the values of the x axis will remain static and the values of the Y axis will change sign:

`\begin{gathered} A(2,3)\to D^{}_{}^{}(2,-3) \\ B(6,1)\to E^{}(6,-1) \\ C(7,5)\to F^{}(7,-5) \end{gathered}`

In the image we can see the triangle reflected on the x axis, the new triangle has vertices DEF