Question

give a written description of the transformations that lead to \\( \triangle fnp \cong \triangle cms \\) 10 points reflect over \\( y = x \\) translate right 3 and down 1 translate left 6 and down 7 rotate 90 counterclockwise about the origin translate right 5 and down 1 rotate 180 about the origin translate left 3 and up 1 reflect over the \\( x \\) axis translate left 1 and up 3 reflect over \\( y = -x \\)

Explanation:

To determine the transformations from \(\triangle CMS\) to \(\triangle FNP\), we analyze the position of corresponding vertices.

• For the \(x -\)coordinate: If we consider a vertex of \(\triangle CMS\) (say \(C(3,2)\)) and a corresponding vertex of \(\triangle FNP\) (say \(N(- 3,-1)\)). The change in the \(x -\)coordinate: \(3-6=-3\) (left - ward translation).
• For the \(y -\)coordinate: The change in the \(y -\)coordinate: \(2 - 3=-1\) (down - ward translation).

Answer:

Translate left 6 and down 3.