Question

triangle ABC has coordinates A(1,4) B(3.-2) and C(4,2) . Find the coordinates of the image ABC after a reflection over the x axis.

Answer 1

The given vertices are A(1,4), B(3,-2), and C(4,2).

The reflection over the x-axis is expressed as

`(x,y)\rightarrow(x,-y)`

This means we have to multiple each y-coordinate with -1. Let's do it!

`\begin{gathered} A(1,4)\rightarrow A^(\prime)(1,-4) \\ B(3,-2)\rightarrow B^(\prime)(3,2) \\ C(4,2)\rightarrow C^(\prime)(4,-2) \end{gathered}`

Therefore, the vertices of the new triangle are A'(1,-4), B'(3,2), and C'(4,-2)